Nick spent $2790 on sweaters and hoodies. The number of hoodies he bought was ¹₄ the number of sweaters he bought. The cost of a hoodie was $4 more than the cost of a sweater. He paid $1610 more on sweaters than on hoodies. Find the cost of 6 sweaters and 5 hoodies.

	Sweaters	Hoodies
Number of sets	4 sets	1 set
Compare each		$4 more
Total value	$2200	$590

Total cost of hoodies
= (2790 - 1610) ÷ 2
= $590

Total cost of sweaters
= 590 + 1610
= $2200

4 sets of sweaters = $2200
1 set of sweaters = 2200 ÷ 4 = $550 

1 set of hoodies = $590

Difference in 1 set of hoodies and 1 set of sweaters
= 590 - 550
= $40

Number of clothing in 1 set
= 40 ÷ 4
= 10

Cost of 1 sweater
= 550 ÷ 10
= $55

Cost of 1 hoodie
= 55 + 4
= $59

Price of 6 sweaters and 5 hoodies
= (6 x 55) + (5 x 59)
= 330 + 295
= $625

Answer(s): $625