Penelope buys a sweater, a vest, a blouse and a jumpsuit. The average cost of these items is $44. The total cost of the blouse and the jumpsuit is ³₈ of the total cost of the sweater and the vest. If the sweater costs $14.20 and the jumpsuit costs $18.80, find the difference in cost between the vest and the blouse.
Total cost of the 4 items
= 4 x 44
= $176

Total cost of the blouse and the jumpsuit = 3 u
Total cost of the sweater and the vest = 8 u

Total cost of the 4 items
= 3 u + 8 u
= 11 u

11 u = 176

1 u = 176 ÷ 11 = 16

Total cost of the blouse and the jumpsuit
= 3 u
= 3 x 16
= $48

Cost of the blouse
= 48 - 18.80
= $29.20

Total cost of the sweater and the vest
= 8 u
= 8 x 16
= $128

Cost of the vest
= 128 - 14.20
= $113.80

Difference in cost between the vest and the blouse
= 113.80 - 29.20
= $84.60

Answer(s): $84.60