Nick spent $1190 on hoodies and jackets. The number of jackets he bought was ¹₄ the number of hoodies he bought. The cost of a jacket was $5 more than the cost of a hoodie. He paid $658 more on hoodies than on jackets. Find the cost of 5 hoodies and 7 jackets.

	Hoodies	Jackets
Number of sets	4 sets	1 set
Compare each		$5 more
Total value	$924	$266

Total cost of jackets
= (1190 - 658) ÷ 2
= $266

Total cost of hoodies
= 266 + 658
= $924

4 sets of hoodies = $924
1 set of hoodies = 924 ÷ 4 = $231 

1 set of jackets = $266

Difference in 1 set of jackets and 1 set of hoodies
= 266 - 231
= $35

Number of clothing in 1 set
= 35 ÷ 5
= 7

Cost of 1 hoodie
= 231 ÷ 7
= $33

Cost of 1 jacket
= 33 + 5
= $38

Price of 5 hoodies and 7 jackets
= (5 x 33) + (7 x 38)
= 165 + 266
= $431

Answer(s): $431