Question

The cost of 5 dresses and 2 belts is $48. The cost of 3 dresses and 2 belts is $32. Find the cost of a dress and a belt. Let x denote the cost of a dress and y denote the cost of a belt.

A: x = $8, y = $4
B: x = $5, y = $4
C: x = $7, y = $10
D: x = $4, y = $5

Answer 1

Explanation:

• 5X + 2Y = 48

• 2Y = 48 - 5X

let's use this and replace it on the second equation

• 3X + 2Y = 32

• 3X + 48 - 5X = 32

• 3X - 5X = 32 - 48

• -2X = -16

• X = 8

now use the X value we found to find the Y

• 5X + 2Y = 48

• 5*8 + 2Y = 48

• 40 + 2Y = 48

• 2Y = 48-40

• Y = 8/2

• Y = 4

A: x = $8, y = $4