Nick spent $580 on cardigans and hoodies. The number of hoodies he bought was ¹₂ the number of cardigans he bought. The cost of a hoodie was $8 more than the cost of a cardigan. He paid $140 more on cardigans than on hoodies. Find the cost of 9 cardigans and 10 hoodies.

	Cardigans	Hoodies
Number of sets	2 sets	1 set
Compare each		$8 more
Total value	$360	$220

Total cost of hoodies
= (580 - 140) ÷ 2
= $220

Total cost of cardigans
= 220 + 140
= $360

2 sets of cardigans = $360
1 set of cardigans = 360 ÷ 2 = $180 

1 set of hoodies = $220

Difference in 1 set of hoodies and 1 set of cardigans
= 220 - 180
= $40

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

Cost of 1 cardigan
= 180 ÷ 5
= $36

Cost of 1 hoodie
= 36 + 8
= $44

Price of 9 cardigans and 10 hoodies
= (9 x 36) + (10 x 44)
= 324 + 440
= $764

Answer(s): $764