Usha buys a coat, a windbreaker, a dress and a jacket. The average cost of these items is $38. The total cost of the dress and the jacket is ³₅ of the total cost of the coat and the windbreaker. If the coat costs $11.50 and the jacket costs $13.60, find the difference in cost between the windbreaker and the dress.
Total cost of the 4 items
= 4 x 38
= $152

Total cost of the dress and the jacket = 3 u
Total cost of the coat and the windbreaker = 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 dress and the jacket
= 3 u
= 3 x 19
= $57

Cost of the dress
= 57 - 13.60
= $43.40

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

Cost of the windbreaker
= 95 - 11.50
= $83.50

Difference in cost between the windbreaker and the dress
= 83.50 - 43.40
= $40.10

Answer(s): $40.10