Nick spent $1370 on sweaters and hoodies. The number of hoodies he bought was ¹₄ the number of sweaters he bought. The cost of a hoodie was $9 more than the cost of a sweater. He paid $750 more on sweaters than on hoodies. Find the cost of 5 sweaters and 3 hoodies.

	Sweaters	Hoodies
Number of sets	4 sets	1 set
Compare each		$9 more
Total value	$1060	$310

Total cost of hoodies
= (1370 - 750) ÷ 2
= $310

Total cost of sweaters
= 310 + 750
= $1060

4 sets of sweaters = $1060
1 set of sweaters = 1060 ÷ 4 = $265 

1 set of hoodies = $310

Difference in 1 set of hoodies and 1 set of sweaters
= 310 - 265
= $45

Number of clothing in 1 set
= 45 ÷ 9
= 5

Cost of 1 sweater
= 265 ÷ 5
= $53

Cost of 1 hoodie
= 53 + 9
= $62

Price of 5 sweaters and 3 hoodies
= (5 x 53) + (3 x 62)
= 265 + 186
= $451

Answer(s): $451