A retailer paid a total of $2080 for some vests and some shirts. He paid $520 less for the vests than the shirts. Each shirt cost $13 more than each vest. The number of vests he bought was ⁴₅ of the number of shirts bought.

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

	Vests	Shirts	Difference in cost	Number of items in 1 set
Number of sets	4	5
Total cost	$780	$1300
Cost of 1 set	780 ÷ 4 = $195	1300 ÷ 5 = $260	260 - 195 = $65
Cost of each item	1 u	1 u + $13	$13	65 ÷ 13 = 5

(a)
Total amount = $2080
Total amount spent on vests = (2080 - 520) ÷ 2 = $780
Total amount spent on shirts = 780 + 520 = $1300

Amount that he paid for all the vests = $780

(b)
4 sets of vests = $780
5 sets of shirts = $1300

1 set of vests = 780 ÷ 4 = $195
1 set of shirts = 1300 ÷ 5 = $260

Difference in the amount paid for each set of shirts and vests
= 260 - 195
= $65

The extra $65 is due to each shirt costing $13 more than each vest.

Number of vests in 1 set
= 65 ÷ 13
= 5

Number of vests that he bought
= 4 sets of vests
= 4 x 5
= 20

Answer(s): (a) $780; (b) 20