Question

Giselle made several apple and peach pies. She bought peaches for $4 per pound and apples for $2 per pound. If Giselle spent $60 to buy 24 pounds of fruit, how many pounds of peaches did she buy?

Answer 1

The number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

Given:

cost of peaches per pound = $4

cost of apples per pound = $2

Total amount spent = $60

Total pounds bought = 24

let

x = number of peaches

y = number of apples

x + y = 24 (1)

4x + 2y = 60 (2)

multiply (1) by 2

2x + 2y = 48 (3)

4x + 2y = 60 (2)

subtract (3) from (2)

4x - 2x = 60 - 48

2x = 12

x = 12/2

x = 6

substitute x = 6 into (1)

x + y = 24 (1)

6 + y = 24

y = 24 - 6

y = 18

Therefore, the number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds