Question

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?

Answer 1

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.

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