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, 1:2 and 2:4 are equivalent ratios.

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 cross-products are equal, the ratios are equivalent.

Front

What is the simplified form of the ratio 20:25?

Back

The simplified form of the ratio 20:25 is 4:5.

Front

If a ratio is 7:5, how many parts are there in total?

Back

In the ratio 7:5, there are a total of 12 parts (7 + 5 = 12).

Front

What is the ratio of Holstein cows to Jersey cows if there are 28 Holsteins and 20 Jerseys?

Back

The ratio of Holstein cows to Jersey cows is 28:20, which simplifies to 7:5.

Front

Which of the following ratios is equivalent to 12:20?

Back

The ratio 3:5 is equivalent to 12:20.

Front

How do you simplify the ratio 30:45?

Back

To simplify the ratio 30:45, divide both numbers by their greatest common divisor, which is 15. The simplified ratio is 2:3.

Front

What is the total length of wire if it is cut in the ratio 9:6?

Back

If a wire is cut in the ratio 9:6, the total length is divided into 15 parts. Each part represents a fraction of the total length.

Front

If a farmer has 48 cattle in the ratio of 7:5, how many Holsteins does he have?

Back

The farmer has 28 Holsteins (7 parts out of 12 total parts of 48 cattle).

Front

What is the first step to solve a problem involving ratios?

Back

The first step is to identify the total number of parts in the ratio and the total quantity being divided.