Question

To make fruit punch, use 2 cups of grape juice for every 4 cups of apple juice. If you already have 14 cups of apple juice, how many cups of grape juice Will you need to make fruit punch? (Use a double number line.)

Answer 1

To maintain the ratio of 2 cups of grape juice for every 4 cups of apple juice, you will need 7 cups of grape juice for the 14 cups of apple juice you have.

Step-by-step explanation:

The given problem is about creating a fruit punch using a specific ratio of grape juice to apple juice. To solve this, we will use the provided ratio of 2 cups of grape juice for every 4 cups of apple juice.

Since you already have 14 cups of apple juice, we can set up a proportion to find out how many cups of grape juice you will need:

4 cups apple juice / 2 cups grape juice = 14 cups apple juice / x cups grape juice

Now we cross multiply to solve for 'x':

(4 * x) = (2 * 14)

4x = 28

x = 7

Therefore, you will need 7 cups of grape juice to mix with your 14 cups of apple juice in order to maintain the correct ratio for the fruit punch.