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 find equivalent ratios using multiplication?

Back

To find equivalent ratios using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both terms by 2 gives 6:8.

Front

How do you find equivalent ratios using division?

Back

To find equivalent ratios using division, divide both terms of the ratio by the same non-zero number. For example, for the ratio 10:15, dividing both terms by 5 gives 2:3.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 9 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/3 = x/9. Solving for x gives x = 6 cups of sugar.

Front

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

Back

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

Front

If a car travels 60 miles in 1 hour, what is the equivalent ratio of miles to hours?

Back

The equivalent ratio is 60 miles:1 hour, which can also be expressed as 120 miles:2 hours.

Front

What is the total number of parts in the ratio 7:3?

Back

The total number of parts in the ratio 7:3 is 7 + 3 = 10 parts.

Front

If a book has 500 pages and the ratio of pages read to pages left is 7:3, how many pages are left?

Back

If 7 parts are read, then 3 parts are left. The total parts are 10, so pages left = (3/10) * 500 = 150 pages.

Front

How can you check if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, check if a*d = b*c.

Front

What is the ratio of calories in 120 calories for 2 servings to 360 calories for 6 servings?

Back

The ratio is equivalent because both simplify to 60 calories per serving.