Nick spent $1856 on cardigans and hoodies. The number of hoodies he bought was ¹₃ the number of cardigans he bought. The cost of a hoodie was $8 more than the cost of a cardigan. He paid $832 more on cardigans than on hoodies. Find the cost of 7 cardigans and 5 hoodies.

	Cardigans	Hoodies
Number of sets	3 sets	1 set
Compare each		$8 more
Total value	$1344	$512

Total cost of hoodies
= (1856 - 832) ÷ 2
= $512

Total cost of cardigans
= 512 + 832
= $1344

3 sets of cardigans = $1344
1 set of cardigans = 1344 ÷ 3 = $448 

1 set of hoodies = $512

Difference in 1 set of hoodies and 1 set of cardigans
= 512 - 448
= $64

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

Cost of 1 cardigan
= 448 ÷ 8
= $56

Cost of 1 hoodie
= 56 + 8
= $64

Price of 7 cardigans and 5 hoodies
= (7 x 56) + (5 x 64)
= 392 + 320
= $712

Answer(s): $712