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?(1 point)
pounds of apples

Answer 1

To solve for the number of pounds of apples that Alisha sold, let's define some variables:

Let \( a \) be the pounds of apples sold and \( b \) be the pounds of bananas sold.

We have two equations based on the information given:

1. The total weight of apples and bananas:
\[
a + b = 200
\]

2. The total revenue from selling apples and bananas:
\[
2a + 3b = 480
\]

We can solve these equations step-by-step.

First, we can express \( b \) in terms of \( a \) using the first equation:
\[
b = 200 - a
\]

Next, we will substitute this expression for \( b \) into the second equation:
\[
2a + 3(200 - a) = 480
\]

Now, distribute the \( 3 \):
\[
2a + 600 - 3a = 480
\]

Combine like terms:
\[
-1a + 600 = 480
\]

Now, isolate \( a \):
\[
-1a = 480 - 600
\]
\[
-1a = -120
\]
\[
a = 120
\]

So, Alisha sold \( \boxed{120} \) pounds of apples.

To find the number of pounds of bananas, we can also calculate it:
\[
b = 200 - a = 200 - 120 = 80
\]

We can double-check the total earnings:
\[
2a + 3b = 2(120) + 3(80) = 240 + 240 = 480
\]

The calculations confirm that the values satisfy both equations. Thus, the final answer is \( \boxed{120} \).