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 a = pounds of apples and b = pounds of bananas.

a + b = 200
2a + 3b = 480

From the first, b = 200 − a. Substitute:
2a + 3(200 − a) = 480
2a + 600 − 3a = 480
−a = −120, so a = 120.

Alisha sold 120 pounds of apples.