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)

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

GPT-4o mini · Answer

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:

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