Question

Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they weighed 3.8 pounds, and cost $5.84.

How many pounds of apples and how many pounds of bananas did Troy buy?

2.6 pounds of apples; 1.2 pounds of bananas

1.9 pounds of apples; 1.9 pounds of bananas

1.5 pounds of apples; 2.3 pounds of bananas

1.2 pounds of apples; 2.6 pounds of bananas

Answer 1

2.6 pounds of apples; 1.2 pounds of bananas

Explanation:

A = pounds of apples and B = pounds of bananas

The total weight is 3.8 pounds, so:

A + B = 3.8

Apples are $1.90 per pound and bananas are $0.75 per pound, and the total cost is $5.84, so:

1.90A + 0.75B = 5.84

We can solve the system of equations using either elimination or substitution.

Using substitution:

1.90A + 0.75(3.8 - A) = 5.84

1.90A + 2.85 - 0.75A = 5.84

1.15A = 2.99

A = 2.6

B = 3.8 - A

B = 1.2