Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 2:3 and 4:6 are equivalent because they represent the same proportion.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio of 2:3, you can multiply both terms by 2 to get 4:6.

Front

If the ratio of A to B is 4:5 and A is 8, what is B?

Back

If A is 8, then B can be found by setting up the proportion 4/5 = 8/B. Cross-multiplying gives 4B = 40, so B = 10.

Front

What is the ratio of 12 to 16 in simplest form?

Back

The ratio of 12 to 16 in simplest form is 3:4, obtained by dividing both terms by their greatest common divisor, which is 4.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 8 cups of flour?

Back

For 8 cups of flour, you need 12 cups of sugar. This is found by setting up the ratio 2:3 and scaling it up to 8 cups of flour.

Front

What is the total number of parts in the ratio 6:5?

Back

The total number of parts in the ratio 6:5 is 11 (6 + 5).

Front

If Adrian collected 36 hockey cards in a ratio of 6:5 with Michael, how many cards did Michael collect?

Back

Michael collected 30 hockey cards. This is found by setting up the ratio 6:5 and using the total cards collected.

Front

How do you solve for unknowns in a ratio problem?

Back

To solve for unknowns in a ratio problem, set up a proportion based on the given ratios and cross-multiply to find the unknown value.

Front

What is the ratio of pages read to pages left if Henry read 350 pages out of a 500-page book?

Back

The ratio of pages read to pages left is 7:3, since he read 350 pages and has 150 pages left.

Front

If a wire is cut in the ratio 9:6, what is the length of each piece if the wire is 60 inches long?

Back

The lengths of the pieces are 36 inches and 24 inches.