Exam 3: Ratios and Proportions

Express the following as an equivalent ratio whose smallest term is 1: 7.6: 3

Solve the following proportion for the unknown quantity: d: 13.2 = 16: 31, to two decimal places.

A lottery prize was shared by Andy, Betty, and Chris by the ratio of 15:12:27. If Andy received $ 4,500, how much did Chris get?

Express the following ratio in its lowest terms: $\frac{11}{3}: \frac{11}{7}$

Express the following ratio in its lowest terms: $\frac{2}{3}: \frac{3}{4}: \frac{5}{6}$

The price of chalk was $6 per box ten years ago. The price today is $8.75. Construct an index number that represents the price change over the ten years.

Last year the team won 34 games and lost 17. This year they will play a total of 15 more games than they played last year. How many games will they have to win this year to maintain the ratio of wins to losses from last year? (There are no tie games.)

Given the proportion 8 : 10 : 7 = x : 110 : z the value of x and z is 88 and 77 respectively.

The exchange rate between the US$ and the C$ declines from US$0.9993 to US$0.9846 per C$. What will be the change in the C$ price to an importer of a US$2,000 item?

Based on the exchange rates in the above table, how many more British pounds can you obtain with C$2,000 at the Royal Bank than at the airport kiosk? On any currency exchange transaction, Airport Kiosk applies a C$3.50 service charge. Refer To: 03-02

Express the following as an equivalent ratio whose smallest term is 1: 3.5: 5.4: 8

If Currency R strengthens relative to Currency S, will the exchange rate in terms of units of S per unit of R increase or decrease? Explain.

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

Betty and Lois have already invested $12,450 and $16,600 respectively. If Betty invests another $6,000 what amount should Lois contribute to maintain their investments in the same ratio?

Calculate each exchange rate in the third column of the following table using the alternative version of the exchange rate given in the second column.

Express the following ratio in its lowest terms: $\frac{4}{3}: \frac{3}{2}$

If the price of gold went from U$850 to U$1,400 and the exchange rate goes from $0.9721 per C$ to $0.9823 per C$, then there will be a net gain of C$550.83.

A punch recipe calls for fruit juice, ginger ale, and vodka to be mixed in the ratio 6: 2.5: 1. How much fruit juice and vodka should be mixed with a 2 litre bottle of ginger ale?

Express the following as an equivalent ratio whose smallest term is 1: $\frac{5}{8}: \frac{17}{11}: \frac{6}{7}$

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.