Nick spent $556 on hoodies and sweaters. The number of sweaters he bought was ¹₂ the number of hoodies he bought. The cost of a sweater was $7 more than the cost of a hoodie. He paid $148 more on hoodies than on sweaters. Find the cost of 9 hoodies and 10 sweaters.

	Hoodies	Sweaters
Number of sets	2 sets	1 set
Compare each		$7 more
Total value	$352	$204

Total cost of sweaters
= (556 - 148) ÷ 2
= $204

Total cost of hoodies
= 204 + 148
= $352

2 sets of hoodies = $352
1 set of hoodies = 352 ÷ 2 = $176 

1 set of sweaters = $204

Difference in 1 set of sweaters and 1 set of hoodies
= 204 - 176
= $28

Number of clothing in 1 set
= 28 ÷ 7
= 4

Cost of 1 hoodie
= 176 ÷ 4
= $44

Cost of 1 sweater
= 44 + 7
= $51

Price of 9 hoodies and 10 sweaters
= (9 x 44) + (10 x 51)
= 396 + 510
= $906

Answer(s): $906