A vendor paid a total of $2080 for some blazers and some sweaters. He paid $800 less for the blazers than the sweaters. Each blazer cost $13 less than each sweater. The number of blazers he bought was ⁵₈ of the number of sweaters bought.

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

	Blazers	Sweaters	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 blazers = (2080 - 800) ÷ 2 = $640
Total amount spent on sweaters = 640 + 800 = $1440

Amount that he paid for all the blazers = $640

(b)
5 sets of blazers = $640
8 sets of sweaters = $1440

1 set of blazers = 640 ÷ 5 = $128
1 set of sweaters = 1440 ÷ 8 = $180

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

The extra $52 is due to each sweater costing $13 more than each blazer.

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

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

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