Nick spent $1096 on sweaters and hoodies. The number of hoodies he bought was ¹₃ the number of sweaters he bought. The cost of a hoodie was $5 more than the cost of a sweater. He paid $488 more on sweaters than on hoodies. Find the cost of 9 sweaters and 3 hoodies.

	Sweaters	Hoodies
Number of sets	3 sets	1 set
Compare each		$5 more
Total value	$792	$304

Total cost of hoodies
= (1096 - 488) ÷ 2
= $304

Total cost of sweaters
= 304 + 488
= $792

3 sets of sweaters = $792
1 set of sweaters = 792 ÷ 3 = $264 

1 set of hoodies = $304

Difference in 1 set of hoodies and 1 set of sweaters
= 304 - 264
= $40

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

Cost of 1 sweater
= 264 ÷ 8
= $33

Cost of 1 hoodie
= 33 + 5
= $38

Price of 9 sweaters and 3 hoodies
= (9 x 33) + (3 x 38)
= 297 + 114
= $411

Answer(s): $411