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 1:2 and 2:4 are equivalent.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the products are equal, the ratios are equivalent.

Front

What is the ratio of girls to boys in a class with 6 girls and 21 boys?

Back

The ratio of girls to boys is 2:7.

Front

If Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins, are these prices equivalent?

Back

Yes, the prices are equivalent.

Front

What is the ratio of Holstein cows to Jersey cows if Robby has 7 Holsteins for every 5 Jerseys?

Back

The ratio of Holstein cows to Jersey cows is 7:5.

Front

If a wire is cut in the ratio 9:6, how do you find the lengths of each piece if the total length is 60 inches?

Back

First, add the parts of the ratio (9 + 6 = 15). Then, divide the total length by the sum of the parts (60 ÷ 15 = 4). Multiply each part of the ratio by this number: 9*4 = 36 inches and 6*4 = 24 inches.

Front

What is the ratio of 15 to 25 in simplest form?

Back

The simplest form of the ratio 15:25 is 3:5.

Front

If two ratios are not equivalent, what does that mean?

Back

It means that the two ratios express different relationships between the quantities involved.

Front

How can you express the ratio of 10 apples to 5 oranges?

Back

The ratio of 10 apples to 5 oranges can be expressed as 2:1 in simplest form.

Front

What is the total number of parts in the ratio 4:6?

Back

The total number of parts in the ratio 4:6 is 4 + 6 = 10.