Exam 3: Ratios and Proportions

A hamburger in Canada costs C$5.00, and the same hamburger costs €5.00 in France. What percentage more is the cost of a hamburger in France? Use C$1.00 = €0.7448 as the exchange rate.

Victoria is going to ask for a raise. Over the past year, the CPI has gone from 119.6 to 122.6. Victoria now earns $45,000. What is the minimum raise that Victoria should ask for in order to maintain the same buying power?

The basket of goods and services included in the Consumer Price Index cost $425 in the base year. If the same basket cost $575 ten years later, what was the CPI on that date?

Express the following ratio in its lowest terms: $\frac{1}{6}: \frac{1}{3}: \frac{1}{9}$

Solve the proportion: 4 : 7 : 8 = 6 : x : y

A car requires 8 litres of gasoline to go 88 km. How many litres of gasoline will be required to go 16 km at the same rate of consumption?

Kuldip and Jane invested $35,000 and $55,000 respectively in a partnership. Kuldip added another $20,000 and Jane wants to add enough to maintain their investments in the original ratio. How much should Jane invest in order to maintain the same ratio?

A provincial government allocates 29% of its budget to education, 31% to health care, and 21% to social services. If the dollar amount budgeted for education is $13.7 billion, how much is budgeted for health care and for social services?

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 in lowest terms?

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 Calgary market as under-exploited. The 65 outlets generate annual sales of $63.05 million from a population of 1,075,000. If Tom Nortons had penetrated the Calgary market to the same degree and success as the Hamilton market, how many additional outlets would it have, and how much higher (rounded to the nearest $0.01 million) would its annual sales be?

Express the following ratio whose smallest term is 1. 3: 21: 0.75

Three partners invest in a business in the ratio of 30%, 25%, and 45%. How should the most recent quarter's profit of $73,800 be distributed?

If the € per ¥ exchange rate decreases by €0.0007 from its value €1.00 = ¥134.68, what will be the change in the ¥ per €exchange rate?

You can buy euros at a currency exchange store or at the airport. If you want to buy €250, would it be better to pay a 1% transaction fee or a flat service charge of $10.00? Use C$1.00 = €0.7448 as the exchange rate.

Express the following ratio in its lowest terms: 0.08: 0.12

A college student wishes to compare tuition fee increases during the period 2003 to 2015to the general increase in the cost of living. Tuition increased from $345 per course in the 2003/2004 academic year to $515 per course in the 2015/2016 academic year. The CPI rose from 95.4 at the end in 2003 to 121.7 at the end of 2015. What would tuition fee per course have been in the 2015/16 year if tuition increases had merely kept pace with inflation during the 12 years?

The cost to manufacture a fiberglass boat consists of $2,240 for materials, $3,165 for direct labour, and $1,325 for overhead. Express the three cost components as a ratio.

Bonus money totalling $920,000 is to be shared by Dave, Claude, Marcel, and Larry by the ratio 15: 11: 8: 6. How much will Dave receive?

Harry's salary in 2005 was $58,000 at a time when the CPI was at 104.2. If the CPI in 2010 was 125, then Harry's salary would have to be 64,000 to keep up with inflation.

Three years ago, when the CPI was at 102.6, the members of a union were earning $22.25 per hour. Now, with the current CPI at 108.4, they are negotiating for a new hourly rate that will restore their former purchasing power. What hourly rate are they seeking?