Question

Alisha sells fruit at a farmer’s market. In one day, she sold a total of 200 pounds of apples and bananas. She sold apples for $2 per pound and bananas for $3 per pound and made $480 total. How many pounds of apples did Alisha sell?

Answer 1

Let \( x \) be the number of pounds of apples Alisha sold, and \( y \) be the number of pounds of bananas sold.

From the problem, we have the following equations based on the information provided:

1. The total weight of the fruits sold:
\[
x + y = 200
\]

2. The total revenue from selling the fruits:
\[
2x + 3y = 480
\]

We can solve these equations step by step.

First, we can express \( y \) from the first equation:
\[
y = 200 - x
\]

Now substitute this expression for \( y \) into the second equation:
\[
2x + 3(200 - x) = 480
\]

Expanding this, we get:
\[
2x + 600 - 3x = 480
\]

Combining the \( x \) terms gives us:
\[
-1x + 600 = 480
\]

Subtracting 600 from both sides results in:
\[
-x = 480 - 600
\]
\[
-x = -120
\]

Multiplying both sides by -1 gives:
\[
x = 120
\]

Now, we substitute \( x = 120 \) back into the equation for \( y \):
\[
y = 200 - 120 = 80
\]

Thus, Alisha sold:
- **120 pounds of apples**
- **80 pounds of bananas**

To confirm, let's check the revenue:
- Revenue from apples: \( 2 \cdot 120 = 240 \)
- Revenue from bananas: \( 3 \cdot 80 = 240 \)
- Total revenue: \( 240 + 240 = 480 \), which matches the given total.

Therefore, the number of pounds of apples Alisha sold is:
\[
\boxed{120}
\]