A seller paid a total of $1760 for some vests and some jackets. He paid $880 less for the vests than the jackets. Each jacket cost $22 more than each vest. The number of vests he bought was ⁴₅ of the number of jackets bought.

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

	Vests	Jackets	Difference in cost	Number of items in 1 set
Number of sets	4	5
Total cost	$440	$1320
Cost of 1 set	440 ÷ 4 = $110	1320 ÷ 5 = $264	264 - 110 = $154
Cost of each item	1 u	1 u + $22	$22	154 ÷ 22 = 7

(a)
Total amount = $1760
Total amount spent on vests = (1760 - 880) ÷ 2 = $440
Total amount spent on jackets = 440 + 880 = $1320

Amount that he paid for all the vests = $440

(b)
4 sets of vests = $440
5 sets of jackets = $1320

1 set of vests = 440 ÷ 4 = $110
1 set of jackets = 1320 ÷ 5 = $264

Difference in the amount paid for each set of jackets and vests
= 264 - 110
= $154

The extra $154 is due to each jacket costing $22 more than each vest.

Number of vests in 1 set
= 154 ÷ 22
= 7

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

Answer(s): (a) $440; (b) 28