A shop owner paid a total of $1620 for some jumpsuits and some jackets. He paid $300 less for the jumpsuits than the jackets. Each jumpsuit cost $9 less than each jacket. The number of jumpsuits he bought was ⁴₅ of the number of jackets bought.

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

	Jumpsuits	Jackets	Difference in cost	Number of items in 1 set
Number of sets	4	5
Total cost	$660	$960
Cost of 1 set	660 ÷ 4 = $165	960 ÷ 5 = $192	192 - 165 = $27
Cost of each item	1 u	1 u + $9	$9	27 ÷ 9 = 3

(a)
Total amount = $1620
Total amount spent on jumpsuits = (1620 - 300) ÷ 2 = $660
Total amount spent on jackets = 660 + 300 = $960

Amount that he paid for all the jumpsuits = $660

(b)
4 sets of jumpsuits = $660
5 sets of jackets = $960

1 set of jumpsuits = 660 ÷ 4 = $165
1 set of jackets = 960 ÷ 5 = $192

Difference in the amount paid for each set of jackets and jumpsuits
= 192 - 165
= $27

The extra $27 is due to each jacket costing $9 more than each jumpsuit.

Number of jumpsuits in 1 set
= 27 ÷ 9
= 3

Number of jumpsuits that he bought
= 4 sets of jumpsuits
= 4 x 3
= 12

Answer(s): (a) $660; (b) 12