12.2k views
4 votes
A smoothie recipe uses bananas, berries, and apples. The recipe uses two times more bananas than berries and three times more berries than apples. If the recipe uses a total of 20 cups total, how many cups of apple does the recipe use?

User VeeDuvv
by
8.4k points

1 Answer

6 votes

Final answer:

The recipe uses 2 cups of apples.

Step-by-step explanation:

Let's start by assigning variables to the quantities involved in the problem. Let B represent the number of cups of berries, A represent the number of cups of apples, and 2B represent the number of cups of bananas. We are given that bananas = 2 * berries and berries = 3 * apples.

We can set up two equations based on this information:

2B + B + A = 20 (the total number of cups)

Simplifying this equation gives us:

3B + A = 20

We also know that B = 3 * A, so we can substitute that into the equation:

3(3A) + A = 20

Simplifying again, we have:

10A = 20

Dividing both sides by 10, we find that A = 2. Therefore, the recipe uses 2 cups of apples.

Learn more about Smoothie recipe

User Ronald Coarite
by
7.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.