Exam 3: Ratios and Proportions

Nancy goes on a globetrotting escapade, from Vancouver to New York to Paris. She begins with C$3,000 and converts it to US$. She spends half of her converted US$ in the New York and the rest she converts to Euros. Using the information from Table 3.2 and disregarding any commission, she should have approximately €1,038.29 remaining. TABLE 3.2 Currency Cross Rates (noon, Toronto, October 30, 2015) Source: Bank of Canada

A litre of gas costs €1.00 in France. What would be the equivalent cost in Canada? Use C$1.00 = €0.7448 as the exchange rate.

Use the currency exchange rates in Table 3.2 to calculate the equivalent amount of the currency in the second column that is equal to the given amount in the first column.

Express the following as an equivalent ratio whose smallest term is 1: $\frac{3}{7}: \frac{19}{17}$

If Currency G weakens relative to Currency H, will the exchange rate in terms of units of G per unit of H increase or decrease? Explain.

Ajax Corporation has $10 million in debt and $75 in equity. The debt to equity ratio in lowest terms is 2:15.

Mike, Tom, and Larry invested $78,750, $22,500 and $123,750 respectively in a consulting business. They decided to expand the business by injecting an extra $180,000. How much should each invest in order to maintain the same proportion?

A college allows parking permits for students in the ratio of 5.5 students to a parking permit. The college currently has 11,000 students. The student council did a survey and found that the ratio should be 4:1. The college has agreed to add the extra parking spaces. How many more spaces are required to meet the 4:1 ratio?

Solve the following proportion for the unknown quantity: 17: q = 119: 91, to one decimal place.

A company has a profit-sharing plan for each employee according to their job classification. Senior management, supervisors, and other staff, which includes clerical and warehouse workers, split profits in the ratio of 8:5:3. The company has 350 employees including 10 managers and 25 supervisors. For the current year, the profits are $550,000. What shares of the profits will each senior manager, supervisor, and other staff receive?

Express the following as an equivalent ratio whose smallest term is 1: 1.41: 8.22

The current exchange rates show that C$1.00 = €0.7448. If you have $200 Canadian dollars, what is the equivalent amount in euros?

Solve the proportion: 0.75 : 5.5 = 6 : x

Express the following ratio in its lowest terms: 12:64

On a typical day Generous Motors sells 3,600 vans, 1,500 pickup trucks, and 7,800 passenger cars. What is the sales ratio of cars to vans to pickups?

Express the following ratio in its lowest terms: $\frac{1}{8}: \frac{3}{4}$

If the Canadian Dollar is currently at 1.5698 per UK £, and the £ depreciates by 1.8% against the Canadian Dollar, then the exchange rate of Canadian Dollar per UK £ is 1.5415.

A gym club membership costs $499 for two years. A member may cancel at any time and a refund less a $75 administration fee will be issued. The notice of cancellation must be received by the 15^th of the month in order for the cancellation to be effective for the following month. Najib purchased a membership on March 1^st last year, and decided to cancel it on June 10^th of this year. How much of a refund will Najib receive?

A company increased sales by 4% last year. During that time, the CPI increased from 102.7 to 106.7. Did the company increase sales more than, the same as, or less than the CPI?

The current exchange rates show that US$1.00 = €0.7700. If you have $600 US dollars, what is the equivalent amount in euros?