Equivalent Ratios (solving #2)

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 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.

Front

If Ryan saved $5 and spent three parts of his allowance, how can we find his total allowance?

Back

If he saved 1 part and spent 3 parts, the total is 1 + 3 = 4 parts. If 1 part is $5, then 4 parts are $5 x 4 = $20.

Front

What is the ratio of students who prefer tacos to those who prefer pizza if 180 students prefer tacos?

Back

If the ratio is 3:2 and 180 students prefer tacos, then for every 3 students who prefer tacos, 2 prefer pizza. To find the number of pizza lovers, set up the proportion: 3/2 = 180/x, which gives x = 120.

Front

How do you solve for the number of Holstein and Jersey cows if the ratio is 7:5 and there are 48 cows total?

Back

Let 7x be the number of Holsteins and 5x be the number of Jerseys. Then, 7x + 5x = 48. Solving gives x = 3.5, so there are 28 Holsteins and 20 Jerseys.

Front

What is the ratio of lemon juice to water in Ella's Delicious Lemonade?

Back

The ratio is 3 cups of lemon juice to 5 cups of water.

Front

If Audrey wants to make a triple batch of lemonade, how much lemon juice and water does she need?

Back

For a triple batch, multiply the original ratio by 3: 3 cups juice x 3 = 9 cups juice and 5 cups water x 3 = 15 cups water.

Front

What is the total amount of lemonade made if Audrey uses 9 cups of juice and 15 cups of water?

Back

The total amount of lemonade is 9 cups + 15 cups = 24 cups.

Front

If the ratio of tomatoes to cucumbers is 4:1 and there are 14 cucumber plants, how many tomato plants are there?

Back

If the ratio is 4:1, for every 1 cucumber, there are 4 tomatoes. If there are 14 cucumbers, then 14 x 4 = 56 tomato plants.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.