Nick spent $560 on cardigans and sweaters. The number of sweaters he bought was ¹₂ the number of cardigans he bought. The cost of a sweater was $7 more than the cost of a cardigan. He paid $140 more on cardigans than on sweaters. Find the cost of 5 cardigans and 4 sweaters.

	Cardigans	Sweaters
Number of sets	2 sets	1 set
Compare each		$7 more
Total value	$350	$210

Total cost of sweaters
= (560 - 140) ÷ 2
= $210

Total cost of cardigans
= 210 + 140
= $350

2 sets of cardigans = $350
1 set of cardigans = 350 ÷ 2 = $175 

1 set of sweaters = $210

Difference in 1 set of sweaters and 1 set of cardigans
= 210 - 175
= $35

Number of clothing in 1 set
= 35 ÷ 7
= 5

Cost of 1 cardigan
= 175 ÷ 5
= $35

Cost of 1 sweater
= 35 + 7
= $42

Price of 5 cardigans and 4 sweaters
= (5 x 35) + (4 x 42)
= 175 + 168
= $343

Answer(s): $343