A shop owner paid a total of $2080 for some dresses and some vests. He paid $800 less for the dresses than the vests. Each vest cost $13 more than each dress. The number of dresses he bought was ⁵₈ of the number of vests bought.

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

	Dresses	Vests	Difference in cost	Number of items in 1 set
Number of sets	5	8
Total cost	$640	$1440
Cost of 1 set	640 ÷ 5 = $128	1440 ÷ 8 = $180	180 - 128 = $52
Cost of each item	1 u	1 u + $13	$13	52 ÷ 13 = 4

(a)
Total amount = $2080
Total amount spent on dresses = (2080 - 800) ÷ 2 = $640
Total amount spent on vests = 640 + 800 = $1440

Amount that he paid for all the dresses = $640

(b)
5 sets of dresses = $640
8 sets of vests = $1440

1 set of dresses = 640 ÷ 5 = $128
1 set of vests = 1440 ÷ 8 = $180

Difference in the amount paid for each set of vests and dresses
= 180 - 128
= $52

The extra $52 is due to each vest costing $13 more than each dress.

Number of dresses in 1 set
= 52 ÷ 13
= 4

Number of dresses that he bought
= 5 sets of dresses
= 5 x 4
= 20

Answer(s): (a) $640; (b) 20