A shop owner paid a total of $1008 for some jackets and some skirts. He paid $504 less for the jackets than the skirts. Each skirt cost $21 more than each jacket. The number of jackets he bought was ²₃ of the number of skirts bought.

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

	Jackets	Skirts	Difference in cost	Number of items in 1 set
Number of sets	2	3
Total cost	$252	$756
Cost of 1 set	252 ÷ 2 = $126	756 ÷ 3 = $252	252 - 126 = $126
Cost of each item	1 u	1 u + $21	$21	126 ÷ 21 = 6

(a)
Total amount = $1008
Total amount spent on jackets = (1008 - 504) ÷ 2 = $252
Total amount spent on skirts = 252 + 504 = $756

Amount that he paid for all the jackets = $252

(b)
2 sets of jackets = $252
3 sets of skirts = $756

1 set of jackets = 252 ÷ 2 = $126
1 set of skirts = 756 ÷ 3 = $252

Difference in the amount paid for each set of skirts and jackets
= 252 - 126
= $126

The extra $126 is due to each skirt costing $21 more than each jacket.

Number of jackets in 1 set
= 126 ÷ 21
= 6

Number of jackets that he bought
= 2 sets of jackets
= 2 x 6
= 12

Answer(s): (a) $252; (b) 12