A retailer paid a total of $960 for some vests and some jumpsuits. He paid $576 more for the jumpsuits than the vests. Each jumpsuit cost $20 more than each vest. The number of vests he bought was ²₃ of the number of jumpsuits bought.

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

	Vests	Jumpsuits	Difference in cost	Number of items in 1 set
Number of sets	2	3
Total cost	$192	$768
Cost of 1 set	192 ÷ 2 = $96	768 ÷ 3 = $256	256 - 96 = $160
Cost of each item	1 u	1 u + $20	$20	160 ÷ 20 = 8

(a)
Total amount = $960
Total amount spent on vests = (960 - 576) ÷ 2 = $192
Total amount spent on jumpsuits = 192 + 576 = $768

Amount that he paid for all the vests = $192

(b)
2 sets of vests = $192
3 sets of jumpsuits = $768

1 set of vests = 192 ÷ 2 = $96
1 set of jumpsuits = 768 ÷ 3 = $256

Difference in the amount paid for each set of jumpsuits and vests
= 256 - 96
= $160

The extra $160 is due to each jumpsuit costing $20 more than each vest.

Number of vests in 1 set
= 160 ÷ 20
= 8

Number of vests that he bought
= 2 sets of vests
= 2 x 8
= 16

Answer(s): (a) $192; (b) 16