Exam 3: Ratios and Proportions

Express the following as an equivalent ratio whose smallest term is 1: 0.0131: 0.0086

Mr. Malik is considering a larger house in the same area. Currently the taxes on his $250,000 home are $3,000 per year. If he expects that the taxes on other homes in the area are in the same ratio as the assessed values, what amount of taxes can Mr. Malki expect to pay on a house assessed at $300,000?

In one year, the CPI increased from 106.3 to 108.9. How much money was required at the end of the year in order to have the same purchasing power as $1,000 at the beginning?

If the number of £ per C$1.00 decreased to £0.6285, which currency has depreciated? Use the rates in Table 3.2.

Rodger, Dodger, and Codger own a business in the ratio of 12: 7: 9. The value of the business is $560,000. If Codger sells his share to Dodger, what will be the new ownership ratio in the form Rodger: Dodger?

Solve the following proportion for the unknown quantity: 1.89: 0.31 = 175: k, to one decimal place.

The current exchange rates show that C$1.00 = US$0.9672. If you have $120 Canadian dollars, what is the equivalent amount in US dollars?

Three insurance companies (Axa, Lloyds and AIG) and agree to reinsure a $70 million cargo on an 6: 3: 7 ratio. Given an insurance premium of $4 million, how much would each insurance company have to pay?

The instructions for preparing the fuel mix for a two-cycle engine are to add 250 ML of oil to 5 L of gasoline. What is the ratio (by volumes) of gasoline to oil in the fuel mix in lowest terms?

Kevin, Lyle, and Marnie operate Food Country as a partnership. Their agreement provides that half the profit in each calendar quarter be distributed in proportion to each partner's investment in the partnership, and that the other half be distributed in proportion to the total number of hours that each partner works in the business. How should the most recent quarter's profit of $112,460 be allocated if their respective investments are $130,000, $86,000, and $29,000, and their hours of work for the quarter were 210, 365, and 632, respectively?

If the exchange rate in terms of units of Currency N per unit of Currency M decreases, which currency strengthened? Explain.

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.