A boutique owner paid a total of $2160 for some windbreakers and some skirts. He paid $560 more for the skirts than the windbreakers. Each skirt cost $9 more than each windbreaker. The number of windbreakers he bought was ⁴₅ of the number of skirts bought.

1. How much did he pay for all the windbreakers?
2. How many windbreakers did he buy?

	Windbreakers	Skirts	Difference in cost	Number of items in 1 set
Number of sets	4	5
Total cost	$800	$1360
Cost of 1 set	800 ÷ 4 = $200	1360 ÷ 5 = $272	272 - 200 = $72
Cost of each item	1 u	1 u + $9	$9	72 ÷ 9 = 8

(a)
Total amount = $2160
Total amount spent on windbreakers = (2160 - 560) ÷ 2 = $800
Total amount spent on skirts = 800 + 560 = $1360

Amount that he paid for all the windbreakers = $800

(b)
4 sets of windbreakers = $800
5 sets of skirts = $1360

1 set of windbreakers = 800 ÷ 4 = $200
1 set of skirts = 1360 ÷ 5 = $272

Difference in the amount paid for each set of skirts and windbreakers
= 272 - 200
= $72

The extra $72 is due to each skirt costing $9 more than each windbreaker.

Number of windbreakers in 1 set
= 72 ÷ 9
= 8

Number of windbreakers that he bought
= 4 sets of windbreakers
= 4 x 8
= 32

Answer(s): (a) $800; (b) 32