Nick spent $1384 on sweaters and skirts. The number of skirts he bought was ¹₄ the number of sweaters he bought. The cost of a skirt was $8 more than the cost of a sweater. He paid $728 more on sweaters than on skirts. Find the cost of 5 sweaters and 8 skirts.

	Sweaters	Skirts
Number of sets	4 sets	1 set
Compare each		$8 more
Total value	$1056	$328

Total cost of skirts
= (1384 - 728) ÷ 2
= $328

Total cost of sweaters
= 328 + 728
= $1056

4 sets of sweaters = $1056
1 set of sweaters = 1056 ÷ 4 = $264 

1 set of skirts = $328

Difference in 1 set of skirts and 1 set of sweaters
= 328 - 264
= $64

Number of clothing in 1 set
= 64 ÷ 8
= 8

Cost of 1 sweater
= 264 ÷ 8
= $33

Cost of 1 skirt
= 33 + 8
= $41

Price of 5 sweaters and 8 skirts
= (5 x 33) + (8 x 41)
= 165 + 328
= $493

Answer(s): $493