Nick spent $1880 on hoodies and cardigans. The number of cardigans he bought was ¹₄ the number of hoodies he bought. The cost of a cardigan was $5 more than the cost of a hoodie. He paid $1064 more on hoodies than on cardigans. Find the cost of 10 hoodies and 4 cardigans.

	Hoodies	Cardigans
Number of sets	4 sets	1 set
Compare each		$5 more
Total value	$1472	$408

Total cost of cardigans
= (1880 - 1064) ÷ 2
= $408

Total cost of hoodies
= 408 + 1064
= $1472

4 sets of hoodies = $1472
1 set of hoodies = 1472 ÷ 4 = $368 

1 set of cardigans = $408

Difference in 1 set of cardigans and 1 set of hoodies
= 408 - 368
= $40

Number of clothing in 1 set
= 40 ÷ 5
= 8

Cost of 1 hoodie
= 368 ÷ 8
= $46

Cost of 1 cardigan
= 46 + 5
= $51

Price of 10 hoodies and 4 cardigans
= (10 x 46) + (4 x 51)
= 460 + 204
= $664

Answer(s): $664