Questions and Answers of Fundamentals of Business Mathematics in Canada

Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.0.0131 :0.0086
Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.0.47 : 0.15 : 0.26
Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.3.5: 5.4: 8
Solve the following problems using proportions.The Ministry of Education reported that the average school board in the province has 31,900 students in kindergarten-to-grade-12 programs, an annual
A cross-border shopping trip reveals that milk sells for US$2.99 per 1-gallon jug versus C$4.99 per 4 litres in Canada. Calculate the percent difference between Canada and the United States in the
A steel company in Hamilton can purchase Alberta coal at C $85 per metric ton (1000 kg) or West Virginia coal at US$65 per ton (20001b)(1 kg = 2.205 lb). How much cheaper in C$ per metric ton is the
Solve the following proportions for the unknown quantities. Maintain three-figure accuracy.a:58: 132=38:27:b
Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.7.6: 3
A provincial government allocates 25% of its budget to education, 39% to health care, and 11% to social services. If the dollar amount budgeted for education is $22.6 billion, how much is budgeted
Solve the following problems using proportions.Viraj's neighbour sold 14.5 hectares of land for $328,000. If Viraj were to sell his 23.25-hect-are parcel at a proportionate price, what amount would
By what percentage has the C$ appreciated or depreciated relative to the US$, the British£, and the Japanese ¥ since the date on which the Table 3.2 exchange rates applied? To obtain up-to-date
How should common area costs totalling $28,600 be allocated among conunercial tenants A, B, C, and D if the costs are prorated based on leased areas of 1260, 3800, 1550, and 2930 square metres,
A "category K ticket to the opening ceremonies of the 2014 Winter Olympics in Sochi, Russia was sold for 50,000 rubles on the official Sochi ticket Web site. What is the price of the ticket in
Solve the following problems using proportions.A high-definition movie lasting 1 hour and 45 minutes consumed 3.5 GB of memory on the hard drive of a personal video recorder (PVR). Rounded to the
Wendy, Simone, and Leif share the costs of their coffee fund in the ratio 3/2: 2/3: 5/3. How will costs of $55 be allocated among them?
A "category A" ticket to the opening ceremonies of the 2014 Winter Olympics in Sochi, Russia was sold for 50,000 rubles on the official Sochi ticket Web site. What is the price of the ticket in
Set up a ratio problem. If the ratio cannot be reduced to an equivalent ratio in terms of small integers, then express it as a ratio of decimal equivalents with the smallest term set at 1. Maintain
Set up a ratio problem. If the ratio cannot be reduced to an equivalent ratio in terms of small integers, then express it as a ratio of decimal equivalents with the smallest term set at 1. Maintain
Set up a ratio problem. If the ratio cannot be reduced to an equivalent ratio in terms of small integers, then express it as a ratio of decimal equivalents with the smallest term set at 1. Maintain
ArcelorMittal Dofasco can buy iron ore pellets from Minnesota at US$85 per short ton (2000 pounds) or from Labrador at C$105 per metric ton (1000 kilograms). Which source is more expensive? How much
Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.11 : 38 : 27
Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.77 : 23 : 41
A customized up-to-date Currency Cross Rate table (in the style of Table 3.2) may be created by using the Web site maintained by the OANDA Corporation. You can find a link to this site from Connect
Solve the following problems using proportions.A punch recipe calls for cranberry juice, ginger ale, and pineapple juice to be mixed in the ratio 6:2.5:1. How much cranberry juice and pineapple juice
Hamish and Grace MacDonald have been investigating the cost of a holiday in Britain. From their home in Welland, Ontario, it is equally inconvenient to fly out of Toronto or Buffalo, New York. On the
Solve the following problems using proportions.Last year, the worldwide vehicle sales of General Motors, Toyota, and Ford, respectively, were in the ratio 124:128:79. Toyota has just announced sales
Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.0.177 : 0.81
Solve the following proportions for the unknown quantities. Maintain three-figure accuracy.0.69 : l.17 : 0.4 = r : s : 6.5
Express each of the following ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy.1.41 :8.22
Express each of the following ratios in its lowest terms. 103:7:4
The exchange rate between the US$ and the C$ declines from US$0.8105 to US$0.7995 per C$. What ,viii be the change in the C$ price to an importer of a US$2000 item?
The following table presents the mid-rates, the Royal Bank's buy and sell rates, and a currency exchange kiosk at Toronto's Pearson International Airport on the same date for conversions between the
Express each of the following ratios in its lowest terms. 2.3.5 3 4 6
In January 2013, 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 ¥99.50 per Cl. She sold the stock
Express each of the following ratios in its lowest terms. 2.
Kevin lives in Calgary and wants to buy a 2013 Tesla Model S electric vehicle. The best price he can find for a low-mileage model in Alberta is $95,000. (No GST would be payable on this private
Solve the following problems using proportions.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
Kevin lives in Calgary and wants to buy a 2013 Tesla Model S electric vehicle. The best price he can find for a low-mileage model in Alberta is $95,000. (No GST would be pay-able on this private
If the number of £ per C$1.00 falls from 0.5659 to 0.5592, what will be the change in the C$ revenue from a foreign contract fixed at £23,000?Parts of Table 3.2 are provided below for convenient
Solve the following problems using proportions.The West EssexSchool Board employs 348 teachers for the 7412 students registered in the district's schools in the current year. The enrolment forecast
Express each of the following ratios in its lowest terms.0.091: 0.021: 0.042
The 1970s were years of high inflation in Canada. By the 1990s, inflation rates had fallen, and have been held to lower levels ever since. Use the Bank of Canada's Inflation Calculator to answer the
If the number of V per C$1.00 declines from 106.14 to 104.61, what will be the change in the C$ price to an importer of a ¥195,000 item?Parts of Table 3.2 are provided below for convenient
If C$1.00 = Indian rupee 50.13, write the exchange rate relationship expressed as C$? = Indian rupee 1.00.If the necessary exchange rates are not given in problem, use the exchange rates in Table
Solve the following problems using proportions.The Khans 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
Express each of the following ratios in its lowest terms.0.24:0.39:0.15
The late 1970s and early 1980s were years of historically high rates of inflation in Canada. The CPI was at 35.1, 38.1, 41.8, 46.9, 52.2, and 56.5 at the beginning of 1978, 1979, 1980, 1981, 1982,
The X-ray department of a hospital served 934 patients last month and uses 185 square metres of space. The ultrasound department of the hospital served 1800 patients last month and uses 275 square
Express each of the following ratios in its lowest terms.11.7 : 7.8 : 3.9
Canada has had relatively low inflation rates since the 1990s. The CPI was at 115.1, 117.8, 120.7, 121.3, 123.1, and 124.3 at the beginning of 2010, 2011, 2012, 2013, 2014, and 2015, respectively.
Express each of the following ratios in its lowest terms.0.84: 1.4: 1.96
We want to compare the increase in value of the stock portfolio represented by the S&P/TSX Composite Index during the 14-year period described in Problem 8 to the general increase in prices of
Solve the following proportions for the unknown quantities. Maintain three-figure accuracy.0.057: 0.149 = z: 0.05
Express each of the following ratios in its lowest terms.2.5:3.5:3
From the end of 2000 to the end of 2014, the S&P/MX Composite Index rose from 8934 to 14,632. If you had invested $50,000 in a portfolio of the shares of the companies in the Index at the end of
Before Mr. and Mrs. Percival left for Great Britain, they purchased British pounds at an exchange rate of C$1.8797 = £1.00. When they returned to Canada eight weeks later they converted their
Express each of the following ratios in its lowest terms.0.08: 0.12
If the number of US$ per C$1.00 declines from $0.9721 to $0.9685, what will be the change in the C$ price per ounce of gold which a Canadian gold mine sells at the international price of US$1392 per
lf Indonesian rupiah 1.00 = C$0.000098, how many rupiah can be purchased with C$1500?
Solve the following proportions for the unknown quantities. Maintain three-figure accuracy.1.56:h = 56.2:31.7
Express each of the following ratios in its lowest terms.26: 130:65
A college student wishes to compare tuition fee increases during the period 2000 to 2015 to the general increase in the cost of living. Tuition increased from $225 per course in the 2000101 academic
A European producer sells coal for US$43.50 per short ton. What is the consequence for the € revenue per short ton if the exchange rate goes from US$1.2286 per € to US$1.2394 per€?Parts of
Solve the following proportions for the unknown quantities. Maintain three-figure accuracy.1.89:0.31 = 175:k
Express each of the following ratios in its lowest terms.45:15:30
In one year, the CPI increased from 125.9 to 127.2. How much money was required at the end of the year in order to have the same purchasing power as $1000 at the beginning?
A Canadian producer sells iron ore for US$56 per n1et1ic ton. What is the consequence for the C$ revenue per metric ton if the exchange rate goes fron1 US$0. 7 452 per C$ to US$0. 7537 per C$?Parts
Express each of the following ratios in its lowest terms.56 :21
A basket of goods and services representative of the CPI cost $2750 when the CPI stood at 127.2.a. What did the basket of goods cost 10 years earlier, when the CPI was at 107.9?b. What was the
On December 1, 2015, €1.00 = £0.7027. As compared to the value in Table 3.2, which currency has depreciated?Parts of Table 3.2 are provided below for convenient reference.Table 3.2 Per C$ Per US$
Express each of the following ratios in its lowest terms.12:64
On December 1, 2015, C$1.00 = US$0.7478. As compared to the value in Table 3.2, which currency has appreciated?Parts of Table 3.2 are provided below for convenient reference.Table 3.2 Per C$ Per US$
You saved $50 of last week's paycheque of $380. Express the ratio of savings to income using:a. Colon notationb. Colon notation with the lowest termsc. A common fraction with the lowest termsd. A
An item cost $3278 on the base date, when the Consumer Price Index was set at 100. Currently, the same item costs $4961. If the cost of the item has exactly matched inflation, what is the current CPI
The number of € per ¥1.00 increased to €0.007992 as compared to the value in Table 3.2. Which currency has appreciated?Parts of Table 3.2 are provided below for convenient reference.Table 3.2
The Morrison family settled a warranty claim with the manufacturer of their roof shingles. The shingles were guaranteed for 15 years, but required replacement after just 9.5 years on their home. If
A daycare centre has 3 employees caring for 45 children. Express the ratio of employees to children using:a. Colon notationb. Colon notation with the lowest termsc. A common fraction with the lowest
Suppose the S&P/TSX Composite portfolio cost $134,590 in 1975 (when the base value of the index was set at 1000). What value was quoted for the S&P/TSX Composite Index on a later date when
The number of £ per C$1.00 decreased to £0.4875 as compared to the value in Table 3.2. which currency has depreciated?Parts of Table 3.2 are provided below for convenient reference.Table 3.2 Per C$
Use formula (5-5), NI = (CM)X - FC, to calculate FC if NI = $200,000, CM = $8, and X = 40,000.
Calculate the missing value for problem. Initial value Final value Percent change (%) 0.11 0.13 ?
Evaluate each of the following expressions to six-figure accuracy.0.893-1/2
Calculate dollar amounts accurate to the cent, and percent amounts accurate to the nearest 0.01%.If the euro is worth 32% more than the Canadian dollar, how much less (in percentage terms) is the
Simplify each of the following and collect the like terms.(-p) + (- 3p) + (4p)
Simplify each of the following and collect the like terms.a. 2(7x - 3y) - 3(2x - 3y)b. 15x-(4 - 10x+ 12)
Simplify each of the following and collect the like terms.(5s - 2t) - (2s - 4t)
Calculate the missing value for problem. Initial value Final value Percent change (%) 135 kg 35 kg
Simplify each of the following and collect the like terms.4x2y + (-3x2y) - (- 5x2y)
Use formula (6-2), S = P(1 + rt), to calculate r if S = $1243.75, P = $1200, and t = 7/12.
Simplify each of the following and collect the like terms.1 - (7e2 - 5 + 3e - e3)
Calculate the missing value for problem. Initial value Final value Percent change (%) 0.095 0.085 ?
Calculate the missing value for problem. Initial value Final value Percent change (%) $134.39 ? -12
Graph the equation -2x + y = 4 over the range x = -3 to x = 6. Visit Connect and use the Graph Templates found under the Student Resources for Chapter 2.
Simplify each of the following and collect the like terms.6a - 3a - 2(2b - a)
Calculate the missing value for problem. Initial value Final value Percent change (%) 112 g 112
Simplify each of the following and collect the like terms. 3y + 6.42y – 4y + 7 1.2
At a local public swimming pool, an afternoon of public swimming resulted in revenues totalling $240.75. Adults were charged $3.50 and children were charged $1.25. If records show that a total of 126
Solve the following equations.12x – 4(2x – 1) = 6(x + 1) - 3
A plumber charges a flat $100 for a home service call plus $20 per 15 minutes of labour. Write an equation for calculating the total charges, C, in terms of the hours of labour, H. If you were to
Simplify each of the following and collect the like terms.13.2 + 7.4t - 3.6 + 28t/0.4

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