Question

Use conversions to solve the problem. Yesenia buys juice to make punch for all her friends. She buys 1 quart of juice and one eighth gallon of juice. How many cups of juice does she ​buy?

Answer 1

The cups of juice that Yesenia buys are:

• 6 cups.

Explanation:

To solve this, you need to know the conversión below:

1. 1 gallon = 16 cups.

Now the paragraph mentions that Yesenia buys 1 quart of juice (that refers to a quart of gallon), then, having the conversion above we can operate with a rule of three:

• 1 gallon = 16 cups
• 1/4 gallon = X

Solving this we have:

• (1/4 * 16)/1 = 4 cups

In the first purchase, Yesenia actually buys 4 cups (that is the same to 1 quart of gallon), next she buys one eighth, then we operate again with the first conversion but using this new quantity:

• 1 gallon = 16 cups
• 1/8 gallon = X

Solving this we have:

• (1/8 * 16)/1 = 2 cups

By last, we add every purchase:

• Number cups of juice purchased by Yesenia = 4 cups + 2 cups = 6 cups.