A vendor paid a total of $1050 for some jumpsuits and some windbreakers. He paid $630 less for the jumpsuits than the windbreakers. Each jumpsuit cost $25 less than each windbreaker. The number of jumpsuits he bought was ²₃ of the number of windbreakers bought.

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

	Jumpsuits	Windbreakers	Difference in cost	Number of items in 1 set
Number of sets	2	3
Total cost	$210	$840
Cost of 1 set	210 ÷ 2 = $105	840 ÷ 3 = $280	280 - 105 = $175
Cost of each item	1 u	1 u + $25	$25	175 ÷ 25 = 7

(a)
Total amount = $1050
Total amount spent on jumpsuits = (1050 - 630) ÷ 2 = $210
Total amount spent on windbreakers = 210 + 630 = $840

Amount that he paid for all the jumpsuits = $210

(b)
2 sets of jumpsuits = $210
3 sets of windbreakers = $840

1 set of jumpsuits = 210 ÷ 2 = $105
1 set of windbreakers = 840 ÷ 3 = $280

Difference in the amount paid for each set of windbreakers and jumpsuits
= 280 - 105
= $175

The extra $175 is due to each windbreaker costing $25 more than each jumpsuit.

Number of jumpsuits in 1 set
= 175 ÷ 25
= 7

Number of jumpsuits that he bought
= 2 sets of jumpsuits
= 2 x 7
= 14

Answer(s): (a) $210; (b) 14