Gwen buys a vest, a blouse, a jumpsuit and a jacket. The average cost of these items is $26. The total cost of the jumpsuit and the jacket is ³₅ of the total cost of the vest and the blouse. If the vest costs $19.70 and the jacket costs $6.30, find the difference in cost between the blouse and the jumpsuit.
Total cost of the 4 items
= 4 x 26
= $104

Total cost of the jumpsuit and the jacket = 3 u
Total cost of the vest and the blouse = 5 u

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

8 u = 104

1 u = 104 ÷ 8 = 13

Total cost of the jumpsuit and the jacket
= 3 u
= 3 x 13
= $39

Cost of the jumpsuit
= 39 - 6.30
= $32.70

Total cost of the vest and the blouse
= 5 u
= 5 x 13
= $65

Cost of the blouse
= 65 - 19.70
= $45.30

Difference in cost between the blouse and the jumpsuit
= 45.30 - 32.70
= $12.60

Answer(s): $12.60