Question: Solve the proportions for the unknown quantities.

> ArcelorMittal Dofasco can buy iron ore pellets from Minnesota at US$133 per short ton (2000 pounds) or from Labrador at C$165 per metric tonne (1000 kg). Which source is more expensive? How much more expensive is it in C$ per metric tonne? (1 pound = 0.4

> Hamish and Grace MacDonald have been investigating the cost of a holiday in Britain. From their home in Welland, Ontario, it is equally inconvenient to fly out of Toronto or Buffalo, New York. On the internet, they have found that they can fly Buffalo–Lo

> Burger Master bought the food concession for a baseball stadium for five years at a price of $1.2 million. If the operating profit is $400,000 per year, what IRR will Burger Master realize on its investment?

> If pork chops cost US$3.99 per pound in the United States and C$10.49 per kilogram in Canada, in which country are the chops more expensive? How much more expensive are they in C$ per kg? (1 kg = 2.2 pounds)

> use the currency exchange rates in Table (reproduced below) to calculate the equivalent amounts of currencies. Given Amount = C$14,500 Equivalent amount = ¥

> A cross-border shopping trip reveals that milk sells for US$3.53 per one-gallon jug versus C$6.44 per four-litre jug in Canada. Calculate the percent difference between Canada and the United States in the exchange rate–adjusted price of milk. Use the Can

> Using the exchange rates in Table 4.2, show that you will receive as many pounds for US$2560 by first converting the US$ to Australian $ and then converting the Australian $ to pounds as you would by converting the US$ directly to pounds. Data from Tabl

> Using the exchange rates in Table 4.2, show that you will receive as many euros for C$1150 by first converting the dollars to pounds and then converting the pounds to euros as you would by converting the dollars directly to euros. Data from Table 4.2:

> 1. Based on the exchange rates in the table in Problem 20, to the nearest 0.01%, what was the percent transaction cost on your purchase of €1100 from each of the Royal Bank and ICE? On any currency exchange transaction, ICE applies a C$3

> 1. Based on the exchange rates in the table in Problem 20, to the nearest 0.01%, what was the percent transaction cost on your purchase of £250 from each of the Royal Bank and ICE? On any currency exchange transaction, ICE applies a C$3.50 s

> Based on the exchange rates in the table in Problem 20, how many fewer Canadian dollars will you receive if you convert €96 at ICE instead of at the Royal Bank? On any currency exchange transaction, ICE applies a C$3.50 service charge.

> Based on the exchange rates in the table in Problem 20, how many fewer Canadian dollars will you receive if you convert US$165 at ICE instead of at the Royal Bank? On any currency exchange transaction, ICE applies a C$3.50 service charge. Data from Tabl

> Based on the exchange rates in the table in Problem 20, how many more euros can you obtain with C$1500 at the Royal Bank than at ICE? On any currency exchange transaction, ICE applies a C$3.50 service charge. Data from Table in Problem 20:

> A 10-year licence to distribute a product should increase the distributor’s profit by $10,000 per year. If the licence can be acquired for $66,000, what is the investment’s IRR?

> Based on the exchange rates in the table in Problem 20, how many more British pounds can you obtain with C$2000 at the Royal Bank than at ICE? On any currency exchange transaction, ICE applies a C$3.50 service charge. Data from Table in Problem 20:

> The following table presents the mid-rates, the Royal Bank’s buy and sell rates, and ICE Currency Exchange’s buy and sell rates (at their Vancouver International Airport operation) on January 12, 2019 for conversions b

> use the currency exchange rates in Table (reproduced below) to calculate the equivalent amounts of currencies. Given Amount = £123.50 Equivalent amount = €

> In October of 2018, Marielle bought 1200 shares of Yakamura Trading Co. on the Tokyo Stock Exchange at a price of ¥1150 per share. The exchange rate at the time was ¥80.96 per C$. She sold the stock for ¥1310 per share in August of 2019 when the exchange

> Kevin lives in Calgary and wants to buy a 2016 Corvette. The best price he can find for a low-mileage model in Alberta is $59,000. (No GST would be payable on this private sale.) Through autotrader.com he tracked down a comparable car in California that

> Keiko arrived in Oshawa to study English at Durham College. She used travellers cheques totalling ¥1,000,000 to open a Canadian-dollar bank account. What will her opening balance be if the bank charges 0.5% for the currency conversion?

> Heinz returned from a holiday in Germany with €235. How much will he receive from his bank when he converts the currency back to Canadian dollars? The bank charges a 1.6% service charge for the transaction.

> How much will it cost (in Canadian funds) to purchase £2000 worth of travellers cheques if the commission rate for this quantity of cheques is 0.5%?

> How much will it cost in Canadian dollars to purchase 2000 pesos in Mexican currency at a bank that charges a 3.5% commission on the transaction? Use an exchange rate of C$1.00 = Mexican peso 12.28.

> Calculate the desired exchange rate in the third column of the following table using the alternative version of the exchange rate given in the second column. a. Given exchange rate: Swedish krona 1.00 = C$0.14892 Desired exchange rate: Swedish krona ? =

> Determine the IRR on the chairlift expansion in Problem 7 of Exercise 17.2. Should the expansion be undertaken, given Jasper Ski Corp.’s required return of 7%? Data from Exercise 17.2 Problem 7: Jasper Ski Corp. is studying the feasibility of installing

> use the currency exchange rates in Table (reproduced below) to calculate the equivalent amounts of currencies. Given Amount = £8950 Equivalent amount = ¥

> use the currency exchange rates in Table (reproduced below) to calculate the equivalent amounts of currencies. Given Amount = C$49,900 Equivalent amount = €

> use the currency exchange rates in Table (reproduced below) to calculate the equivalent amounts of currencies. Given Amount = A$37,650 Equivalent amount = ¥

> use the currency exchange rates in Table (reproduced below) to calculate the equivalent amounts of currencies. Given Amount = US$1856 Equivalent amount = C$

> Their partnership agreement requires Bella, Edward, and Jacob to provide capital “when and as required” by the partnership in the ratio 1 : 1.35 : 0.85, respectively. 1. The total initial capital requirement was $256,000. How much did each partner contri

> Mr. Bartlett’s will specified that, upon liquidation of any asset, the proceeds be divided among his wife, his son, and his sister in the ratio of 7 : 5 : 3. 1. If the son received $9500 from the sale of securities, what amounts did Bartlett’s wife and s

> Andy, Candy, and Sandy agree to split the annual cost of $2739 for high-speed internet for the apartment they share. If the three roommates agree to allocate the cost of the service and their usage of the monthly download allowance in the ratio 3 : 8 : 5

> The leases in multiple-unit commercial developments commonly permit the landlord to allocate to the tenants various common area and general costs such as property taxes, janitorial services, security services, and snow removal. These costs are usually pr

> If you operate a home-based business, the Canada Revenue Agency (CRA) will usually allow you to report certain “office-in-home” expenses. The portion of heat, insurance, electricity, property taxes, and mortgage interest that you may report must be (in t

> If you use your car for both business and pleasure, the Canada Revenue Agency will usually allow you to report a portion of the costs of operating the vehicle as a business expense. This portion is determined by the ratio of the distance travelled on bus

> Determine the IRR on the ginseng crop in Problem 3 of Exercise 17.2. Data from Exercise 17.2 Problem 3: The pro forma projections for growing a 20-hectare ginseng crop require the expenditure of $250,000 in the summer that the crop is planted, and an ad

> On May 3, Mary Ann bought a two-year membership in a fitness club for $1260, on a special promotion. Cancellation is allowed at any time. A prorated refund will be paid, based upon the number of days remaining in the membership period. If she cancelled t

> When real estate is sold, the year’s property taxes are allocated to the vendor and the purchaser in proportion to the number of days that each party owns the property during the year. If the purchaser took possession of a property effective August 8 (of

> Canadian Can Co. operates a profit-sharing plan wherein half the annual profits are distributed to employees. By agreement, the amounts received by individual executives, supervisors, and production workers are to be in the ratio of 10 : 7 : 5, respectiv

> Geological Consultants Ltd. is a private company with four shareholders: W, X, Y, and Z. The following table shows their respective shareholdings. X is retiring and has agreed to sell his shares to the other three shareholders for $175,000. The agreement

> Last year, Reliable Securities established a sales achievement bonus fund of $10,000 to be distributed at the year-end among its four-person mutual fund salesforce. The distribution is to be made in the same proportion as the amounts by which each person

> Statistics Canada reported the following sales of alcoholic beverages in Ontario and Quebec for the year 2017. (All figures are in $ billions.) If Ontarians had allocated their total expenditures on alcoholic beverages in the same proportion as Quebecers

> The following table shows National Paper Products’ capital investment in each of its three divisions, and the most recent year’s gross sales for each division. The operating costs of the head office for the year were $

> Kevin, Lyle, and Marnie operate Food Country as a partnership. Their agreement provides that half of the profit in each calendar quarter be distributed in proportion to each partner’s investment in the partnership, and that the other ha

> A three-year magazine subscription costing $136 may be cancelled at any time, and a prorated refund will be made for the remaining weekly issues. If Juanita cancels her subscription after receiving 17 issues in the second year, what refund should she get

> Solve the proportions for the unknown quantities. m : 3 4 = 1 2 : 9 8

> Determine the IRR on the strip mine proposal in Problem 4 of Exercise 17.2. Should the mine be developed, given the mining company’s 10% cost of capital? Data from Exercise 17.2 Problem 4: A proposed strip mine would require the investment of $3 million

> One of the largest lottery jackpots ever won was on March 27, 2019. The winning numbers for the $768,400,000 jackpot in America’s biggest lottery game, Powerball, were on a single winning ticket sold in Wisconsin. The Powerball rules gave the winner a ch

> Solve the proportions for the unknown quantities. 0.057 : 0.149 = z : 0.05

> Solve the proportions for the unknown quantities. 1.56 : h = 56.2 : 31.7

> Solve the proportions for the unknown quantities. 1.89 : 0.31 = 175 :k

> Solve the proportions for the unknown quantities. d : 13.2 = 16 : 31

> Executive Fashions sold four-sevenths of its inventory at cost in a bankruptcy sale. The remainder was sold at 45% of cost to liquidators for $6700. 1. What was the original cost of the inventory that was sold to the liquidators? 2. What were the proceed

> The statistics for a professional accounting program indicate that five-sevenths of those who enter the program complete Level 1. Two-ninths of the Level 1 completers do not finish Level 2. If 587 students completed Level 2 last year, how many (including

> Regal Resources owns a 58% interest in a mineral claim. Yukon Explorations owns the remainder. If Regal sells one-fifth of its interest for $1.2 million, what is the implied value of Yukon’s interest?

> Shirley had a three-sevenths interest in a partnership. She sold three-fifths of her interest for $27,000. 1. What is the implied value of the entire partnership? 2. What is the implied value of Shirley’s remaining partnership interest?

> The Ministry of Education reported that a certain province’s average school district has 13,450 students in “K–12” programs, an annual budget of $87.4 million, and 635 full-time-equivalent teachers. The Middleton School District (MSD), with an annual bud

> A venture requiring an immediate investment of $500,000 and an additional investment of $200,000 three years from now will generate annual profits of $150,000 for seven years starting in the first year. There will be no significant terminal value. Calcul

> Solve the proportions for the unknown quantities. 88 : 17 = a : 45

> Tom Nortons Donuts considers the Hamilton area to be its most mature, fully exploited market. The 59 outlets in the metropolitan area serve a population of 675,000 and generate annual sales of $66.67 million. The management of Tom Nortons views its Calga

> Statistics are kept for hockey goalies tracking their goals-against average (GAA), or the number of goals allowed in 60 minutes of play (not counting empty-net goals). If a goalie has a 1.35 GAA, how many goals would you expect them to allow in 150 minut

> The Red Deer location of a national franchise has followers on Twitter, Facebook, and Instagram in the ratio of 14,500 : 22,300 : 8500. If this location is representative for the Alberta franchises, how many Twitter and Instagram followers should the Med

> A province’s Ministry of Social Services has found that both the number of people needing social assistance and the province’s total expenditures on social assistance are proportional to the rate of unemployment. Last August, when the provincial unemploy

> A business consultant is analyzing the cost structure of two firms in the grocery business. On sales of $3.66 million, Thrifty’s had wholesale costs of $2.15 million and overhead expenses of $1.13 million. If Economart had the same proportionate costs on

> A punch recipe calls for fruit juice, ginger ale, and vodka to be mixed in the ratio 6 : 2.5 : 1. How much fruit juice and vodka should be mixed with a 2-L bottle of ginger ale?

> The worldwide sales for Samsung, Apple, and Huawei smartphones in the first quarter of 2018 were in the ratio 21 : 14 : 11. If Huawei had sales of 40.4 million units, what were the first-quarter sales for Apple and Samsung during the same time period?

> An international equity mutual fund includes American stocks, Japanese stocks, German stocks, and British stocks in the ratio 27 : 19 : 14 : 11, respectively. If its current holdings of German stocks are valued at US$238 million, what are the values of i

> Based on past experience, a manufacturing process requires 2.3 hours of direct labour for each $174 worth of raw materials processed. If the company is planning to consume $78,300 worth of raw materials, what total amount should it budget for labour at $

> The introduction of a new product would require an initial investment of $120,000. The forecast profits in successive years of the anticipated four-year product life are $15,000, $60,000, $40,000, and $35,000. Determine the IRR of the investment. Should

> Connie’s neighbour sold 14.5 hectares of raw land for $128,000. If Connie were to sell her 23.25-hectare parcel at a proportionate price, to the nearest dollar, what amount would she receive?

> Solve the proportions for the unknown quantities. 17 : q = 119 : 91

> A high-definition movie lasting 1 hour and 45 minutes consumed 4.5 GB of memory on the hard drive of a personal video recorder (PVR). Rounded to the nearest minute, what is the maximum duration of high-definition recording that could be saved on the PVR’

> The West Essex School Board employs 348 teachers for the 7412 students registered in the board’s schools in the current year. The enrolment forecast for next year is 7780 students. Assuming the same student–teacher ratio for the next year, how many addit

> The Borellis wish to purchase a larger house to accommodate their growing family. The current year’s property tax on their home amounts to $3545 based on its assessed value of $328,000. The assessed value of a property they are seriously considering is $

> Solve the proportions for the unknown quantities. 8500 : x : y = 1. 3 ¯ : 1 : 1. 6 ¯

> Solve the proportions for the unknown quantities. 0.69 : 1.17 : 0.4 = r : s : 6.5

> Solve the proportions for the unknown quantities. a: 58 : 132 = 38 : 27 : b

> Solve the proportions for the unknown quantities. 625 : f : 500 = g : 3 : 4

> Solve the proportions for the unknown quantities. 3 : 4 : 13 = x : y : 6.5

> A natural resource development and extraction project would require an investment of $1 million now and $1 million at the end of each of the next four years. Then it would generate annual profits of $2 million in each of the subsequent four years. There

> Solve the proportions for the unknown quantities. 6 : 7 : 5 = n : 105 : m

> Solve the proportions for the unknown quantities. 10 3 : 12 7 = 5 18 : r

> Solve the proportions for the unknown quantities. 9 : 7 = 54 : b

> Express ratios in its lowest terms. 0.24 : 0.39 : 0.15

> Express ratios in its lowest terms. 11.7 : 7.8 : 3.9

> Express ratios in its lowest terms. 0.84 : 1.4 : 1.96

> Express ratios in its lowest terms. 2.5 : 3.5 : 3

> Express ratios in its lowest terms. 0.08 : 0.12

> The bounce rate measures the percentage of visitors who leave a Web site after viewing only one page. If a Web page has a bounce rate of 62.5% what is the ratio of bounces to visitors?

> Jenn spends 1 hour and 45 minutes a day playing online games. Her sister Amanda spends 3 hours and 30 minutes a day gaming online, and their brother Steve spends 6 hours and 15 minutes a day playing online games. Write the ratio for the number of hours J

> An $80,000 capital investment will produce annual profits of $15,000 for the first five years and $10,000 for the next five years. It will have no residual value. What is its IRR? Should it be undertaken if the cost of capital is 8.5%?

> The instructions for preparing the fuel mix for a two-cycle engine are to add 250 mL of oil to 5 L of gasoline. What is the ratio (by volumes) of gasoline to oil in the fuel mix?

> The brine used in an industrial process is 12.5% salt by weight. What is the ratio (by weights) of salt to water in the brine?

> Express ratios in its lowest terms. 26 : 130 : 65

> A provincial government budget forecasts expenditures of $1.56 billion on education, $1.365 billion on health services, and $975 million on social services. Express the three budget items as a ratio.

> The cost to manufacture a fibreglass boat consists of $4480 for materials, $6330 for direct labour, and $2650 for overhead. Express the three cost components as a ratio.

> Victoria Developments has obtained $3.6 million of total capital from three sources. Preferred shareholders contributed $550,000 (preferred equity), common shareholders contributed $1.2 million (common equity), and the remainder was borrowed (debt). What

> Don, Bob, and Ron Maloney’s partnership interests in Maloney Bros. Contracting are in the ratio of their capital contributions of $78,000, $52,000, and $65,000, respectively. What is the ratio of Bob’s to Ron’s to Don’s partnership interest?

> Shaheed has budgeted 12% of his monthly spending to cell phone and internet, 22% to food, and 40% to rent and utilities. What is the ratio of his spending for cell phone and internet to food to rent and utilities?

> An online catalogue business sent out 12,000 emails to previous customers in its database, of which 10,500 were successfully delivered and 750 were opened. What is the ratio of emails sent to emails delivered to emails opened?