Exam 3: Ratios and Proportions

Express the following ratio in its lowest terms: 0.24: 0.39: 0.15

Wendy, Simone, and Leif share the costs of their coffee fund in the ratio $\frac{3}{2}: \frac{2}{3}: \frac{5}{3}$ . How will $50 be allocated among them?

A basket of goods and services cost $2,550 when the CPI was 114.1. What was the value of the basket of goods when the CPI was 70.8?

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 $839,000. These costs are allocated to the divisions before each division's profit is determined. How much should be allocated to each division if the costs are prorated on the basis of: a) The capital investment in each division? b) The sales of each division?

A bag of popcorn costs C$1.99 in Canada, and the same bag of popcorn costs US$1.99 in Morgan Hill, California, USA. What percentage more is the cost of the bag of popcorn in the US than in Canada? Use US$1.00 = C$1.0339 as the exchange rate.

In April of 2011, Marielle bought 1,200 shares of Yakamura Trading Co. on the Tokyo Stock Exchange at a price of ¥1,150 per share. The exchange rate at the time was ¥99.50 per C$. She sold the stock for ¥1,310 per share in June of 2016 when the exchange rate was ¥96.96 per C$. In Canadian dollars, how much did Marielle gain or lose on the investment?

Axel, Bonita, and Chip are partners in business. The ratio of ownership of the partnership between Axel, Bonita, and Chip respectively is 5:4:10. If Bonita's share is worth $28,000 what is the value of the whole business?

Susan, Lynda, and Monica opened a consignment dress shop. The partnership agreement states that the responsibilities for the provision of capital are in the ratio of 2.5: 3.75: 4.5. If the total investment in the business was $365,500, how much did each partner invest?

Mary paid $1,500 for car insurance at the beginning of the year. After 5 months she cancelled the insurance and was given a pro-rated refund based on the number of months remaining on the policy less a service charge of $100. How much money did she get back?

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.

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.

Using the exchange rates in Table 3.2, show that you will receive as many pounds for US$2,560 by first converting the dollars to yen and then converting the yen to pounds as you would by converting the dollars directly to pounds.

During 2016, Acme Company's total overhead of $685,000 was allocated as follows: 18% to division A, 42% to division B, and the remainder to division C. What is the ratio of the overhead in division A to the overhead in division B to the overhead in division C in the lowest terms?

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.

Based on past experience, a production process requires 15 hours of direct labour and 2 assemblers for every $450 of raw materials. If the company has budgeted for $33,750 worth of raw materials, how many hours of direct labour and how many assemblers will the company require?

A test-marketing of a newly released video in a representative Canadian city, with a population of 120,000, resulted in sales of 543 units in a 3-month period. If the video sells at the same rate in the rest of the country, where 21,000,000 Canadians have access to retail outlets, what 3-month sales may be forecast for the video?

Julia's punch recipe consists of ½ ginger ale, ⅓ orange juice, and 1/6 secret ingredient. Express the three ingredients as a ratio in lowest terms.

If Indonesian rupiah 1.00 = C$0.0001121, how many rupiah can be purchased with C$1500?

A salad dressing recipe calls for a 7:2:1 proportion of oil, vinegar and citrus juice. How much oil and citrus juice should be mixed with 250 ML of vinegar?

For the last 5 years the sales of Departments D, E, and F have maintained a relatively stable ratio of 13: 17: 21. Department E is forecasting sales of $478,000 for next year. Based on the past sales ratio, what sales would be expected for Departments D and F?