Jean buys a blazer, a skirt, a jacket and a vest. The average cost of these items is $44. The total cost of the jacket and the vest is ⁵₆ of the total cost of the blazer and the skirt. If the blazer costs $19.10 and the vest costs $16.20, find the difference in cost between the skirt and the jacket.
Total cost of the 4 items
= 4 x 44
= $176

Total cost of the jacket and the vest = 5 u
Total cost of the blazer and the skirt = 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 vest
= 5 u
= 5 x 16
= $80

Cost of the jacket
= 80 - 16.20
= $63.80

Total cost of the blazer and the skirt
= 6 u
= 6 x 16
= $96

Cost of the skirt
= 96 - 19.10
= $76.90

Difference in cost between the skirt and the jacket
= 76.90 - 63.80
= $13.10

Answer(s): $13.10