Esther buys a blouse, a coat, a windbreaker and a shirt. The average cost of these items is $38. The total cost of the windbreaker and the shirt is ³₅ of the total cost of the blouse and the coat. If the blouse costs $13.70 and the shirt costs $8.10, find the difference in cost between the coat and the windbreaker.
Total cost of the 4 items
= 4 x 38
= $152

Total cost of the windbreaker and the shirt = 3 u
Total cost of the blouse and the coat = 5 u

Total cost of the 4 items
= 3 u + 5 u
= 8 u

8 u = 152

1 u = 152 ÷ 8 = 19

Total cost of the windbreaker and the shirt
= 3 u
= 3 x 19
= $57

Cost of the windbreaker
= 57 - 8.10
= $48.90

Total cost of the blouse and the coat
= 5 u
= 5 x 19
= $95

Cost of the coat
= 95 - 13.70
= $81.30

Difference in cost between the coat and the windbreaker
= 81.30 - 48.90
= $32.40

Answer(s): $32.40