A store owner paid a total of $3120 for some jackets and some sweaters. He paid $720 less for the jackets than the sweaters. Each jacket cost $12 less than each sweater. The number of jackets he bought was ⁴₅ of the number of sweaters bought.

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

	Jackets	Sweaters	Difference in cost	Number of items in 1 set
Number of sets	4	5
Total cost	$1200	$1920
Cost of 1 set	1200 ÷ 4 = $300	1920 ÷ 5 = $384	384 - 300 = $84
Cost of each item	1 u	1 u + $12	$12	84 ÷ 12 = 7

(a)
Total amount = $3120
Total amount spent on jackets = (3120 - 720) ÷ 2 = $1200
Total amount spent on sweaters = 1200 + 720 = $1920

Amount that he paid for all the jackets = $1200

(b)
4 sets of jackets = $1200
5 sets of sweaters = $1920

1 set of jackets = 1200 ÷ 4 = $300
1 set of sweaters = 1920 ÷ 5 = $384

Difference in the amount paid for each set of sweaters and jackets
= 384 - 300
= $84

The extra $84 is due to each sweater costing $12 more than each jacket.

Number of jackets in 1 set
= 84 ÷ 12
= 7

Number of jackets that he bought
= 4 sets of jackets
= 4 x 7
= 28

Answer(s): (a) $1200; (b) 28