Exam 3: Ratios and Proportions

If a basket of goods cost $630 today when the CPI is at 108.2, then what did the same basket of goods cost 15 years ago when the CPI was as 98.6?

Express the following ratio in its lowest terms: $4 \frac{1}{8}: 2 \frac{1}{5}$ 1

Jane, Lynda, and Ginny run a consignment dress store. The partnership agreement states that the profits are distributed according to the hours each works in the store. For the month of July, profits are $8,500. The hours worked by Jane, Lynda and Ginny are 170, 190, and 200 respectively. How should the month's profits be allocated?

A cross-border shopping trip reveals that milk sells for US$2.99 per one-gallon jug versus C$4.99 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 Canadian price as the base in the comparison. (1 U.S. gallon = 3.785 litres).

The West Essex School Board employs 348 teachers for the 7,412 students registered in the district's schools in the current year. The enrolment forecast for next year is 7,780 students. Assuming the same student-teacher ratio for the next year, how many additional teaching positions must the board fill?

If the C$ strengthens by 3% relative to the euro (C$1.00 = €0.7448), what will be the new value for the euro per C$1.00?

The local college runs 24 classes of Business Mathematics for the 1,000 first-year students. Next year, the college is expecting 1,300 first-year students. Assuming the same student number-Business Mathematics class ratio, how many additional classes of Business Mathematics should the college plan for?

Sam, Sue, and Cliff formed a partnership in the ratio of 1:.80:1.25. If Sue's contribution was $32,000, how much did Sam and Cliff contribute?

If the ¥ per A$ exchange rate increases by ¥1 from its value ¥1.00 = A$ = 81.16, what will be the change in the A$ per ¥ exchange rate?

Nitin earns $15 per hour today. Five years ago he earned $11.75 per hour. During the five-year period the CPI rose from 136.5 to 147.6. Has Nitin's buying power increased or decreased and by how much in current year's dollars?

If the C$ weakens (from the value C$1.0339 = US$1.00) by C$0.0033 relative to the US$, what will be the new value for US$ per C$1.00?

Express the following ratio in its lowest terms: 26:130:65

Stanford Marketing raised $2.1 million to launch its new product line. Preferred shareholders contributed $600,000, common shareholders $1 million, and the remainder was borrowed. Express the three sources of funds as a ratio in lowest terms.

A punch recipe calls for orange juice, ginger ale, and vodka to be mixed in the ratio of 4.5:2.5:1. How much orange juice and vodka should be mixed with 2-litre bottle of ginger ale?

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.

Solve for t in 1.65: 5 = 0.75: t

Solve the following proportion for the unknown quantities: 6: 7:5 = n: 105: m

Express the following ratio in its lowest terms. 76: 44: 8

Based on the exchange rates in the above table, how many more euros can you obtain with C$1,500 at the Royal Bank than at the airport exchange kiosk? On any currency exchange transaction, the airport kiosk applies a C$3.50 service charge. Refer To: 03-03

Solve the following proportion for the unknown quantities: 8500: x: y = 4/3: 1: 5/3