Question

15 similar blouses and 2 similar skirts cost $505. 5 such blouses and 2 such

Answer 1

Answer:

Cost of five blouses = $145

Step-by-step explanation:

Let

x = cost of blouse

y = cost of skirt

15x + 2y = 505 (1)

5x + 2y = 215 (2)

Subtract (2) from (1) to eliminate y

15x - 5x = 505 - 215

10x = 290

x = 290/10

x = 29

Substitute x = 29 into (2)

5x + 2y = 215 (2)

5(29) + 2y = 215

145 + 2y = 215

2y = 215 - 145

2y = 70

y = 70/2

y = 35

x = cost of blouse = $29

y = cost of skirt = $35

How much do 5 such blouses cost?

cost of a blouse = $29

Cost of five blouses = $29 × 5

= $145

Cost of five blouses = $145