A boutique owner paid a total of $1800 for some jumpsuits and some skirts. He paid $900 less for the jumpsuits than the skirts. Each skirt cost $20 more than each jumpsuit. The number of jumpsuits he bought was ³₅ of the number of skirts bought.

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

	Jumpsuits	Skirts	Difference in cost	Number of items in 1 set
Number of sets	3	5
Total cost	$450	$1350
Cost of 1 set	450 ÷ 3 = $150	1350 ÷ 5 = $270	270 - 150 = $120
Cost of each item	1 u	1 u + $20	$20	120 ÷ 20 = 6

(a)
Total amount = $1800
Total amount spent on jumpsuits = (1800 - 900) ÷ 2 = $450
Total amount spent on skirts = 450 + 900 = $1350

Amount that he paid for all the jumpsuits = $450

(b)
3 sets of jumpsuits = $450
5 sets of skirts = $1350

1 set of jumpsuits = 450 ÷ 3 = $150
1 set of skirts = 1350 ÷ 5 = $270

Difference in the amount paid for each set of skirts and jumpsuits
= 270 - 150
= $120

The extra $120 is due to each skirt costing $20 more than each jumpsuit.

Number of jumpsuits in 1 set
= 120 ÷ 20
= 6

Number of jumpsuits that he bought
= 3 sets of jumpsuits
= 3 x 6
= 18

Answer(s): (a) $450; (b) 18