Question

A fruit salad recipe uses strawberries and bananas in a 3:2 ratio. If there are 40 pieces of fruit total, how many are bananas?



(1 point)
bananas

Answer 1

To solve for the number of bananas in the fruit salad, we can start by defining the parts of strawberries and bananas based on their ratio.

Given the ratio of strawberries to bananas is 3:2, we can let:
- the number of strawberries be represented as \( 3x \)
- the number of bananas be represented as \( 2x \)

According to the problem, the total number of fruits is 40. Therefore, we can set up the equation:

\[
3x + 2x = 40
\]

This simplifies to:

\[
5x = 40
\]

Now, solve for \( x \):

\[
x = \frac{40}{5} = 8
\]

Now we can find the number of bananas:

\[
\text{Number of bananas} = 2x = 2 \times 8 = 16
\]

Thus, there are **16 bananas** in the fruit salad.