Nora buys a jumpsuit, a sweater, a jacket and a coat. The average cost of these items is $44. The total cost of the jacket and the coat is ⁵₆ of the total cost of the jumpsuit and the sweater. If the jumpsuit costs $17.40 and the coat costs $10.10, find the difference in cost between the sweater and the jacket.
Total cost of the 4 items
= 4 x 44
= $176

Total cost of the jacket and the coat = 5 u
Total cost of the jumpsuit and the sweater = 6 u

Total cost of the 4 items
= 5 u + 6 u
= 11 u

11 u = 176

1 u = 176 ÷ 11 = 16

Total cost of the jacket and the coat
= 5 u
= 5 x 16
= $80

Cost of the jacket
= 80 - 10.10
= $69.90

Total cost of the jumpsuit and the sweater
= 6 u
= 6 x 16
= $96

Cost of the sweater
= 96 - 17.40
= $78.60

Difference in cost between the sweater and the jacket
= 78.60 - 69.90
= $8.70

Answer(s): $8.70