Nick spent $1484 on sweaters and hoodies. The number of hoodies he bought was ¹₃ the number of sweaters he bought. The cost of a hoodie was $8 more than the cost of a sweater. He paid $658 more on sweaters than on hoodies. Find the cost of 9 sweaters and 6 hoodies.

	Sweaters	Hoodies
Number of sets	3 sets	1 set
Compare each		$8 more
Total value	$1071	$413

Total cost of hoodies
= (1484 - 658) ÷ 2
= $413

Total cost of sweaters
= 413 + 658
= $1071

3 sets of sweaters = $1071
1 set of sweaters = 1071 ÷ 3 = $357 

1 set of hoodies = $413

Difference in 1 set of hoodies and 1 set of sweaters
= 413 - 357
= $56

Number of clothing in 1 set
= 56 ÷ 8
= 7

Cost of 1 sweater
= 357 ÷ 7
= $51

Cost of 1 hoodie
= 51 + 8
= $59

Price of 9 sweaters and 6 hoodies
= (9 x 51) + (6 x 59)
= 459 + 354
= $813

Answer(s): $813