Nick spent $1148 on skirts and cardigans. The number of cardigans he bought was ¹₃ the number of skirts he bought. The cost of a cardigan was $4 more than the cost of a skirt. He paid $532 more on skirts than on cardigans. Find the cost of 9 skirts and 4 cardigans.

	Skirts	Cardigans
Number of sets	3 sets	1 set
Compare each		$4 more
Total value	$840	$308

Total cost of cardigans
= (1148 - 532) ÷ 2
= $308

Total cost of skirts
= 308 + 532
= $840

3 sets of skirts = $840
1 set of skirts = 840 ÷ 3 = $280 

1 set of cardigans = $308

Difference in 1 set of cardigans and 1 set of skirts
= 308 - 280
= $28

Number of clothing in 1 set
= 28 ÷ 4
= 7

Cost of 1 skirt
= 280 ÷ 7
= $40

Cost of 1 cardigan
= 40 + 4
= $44

Price of 9 skirts and 4 cardigans
= (9 x 40) + (4 x 44)
= 360 + 176
= $536

Answer(s): $536