Question

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?

Answer 1

4.5 pounds of apples

2.5 pounds of grapes

Explanation:

a = # of apples

(a - 2) = # of grapes

1.68a + 2.48(a - 2) = 13.76

1.68a + 2.48a - 4.96 = 13.76

4.16a = 18.72

a = 4.5; Apples

(a - 2) = 2.5; Grapes

Answer 2

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Explanation:

Let

x ------> the number of pounds of apples

(x-2) -----> the number of pounds of grapes

we know that

Solve for x

so

therefore

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5