Nick spent $1008 on hoodies and jackets. The number of jackets he bought was ¹₂ the number of hoodies he bought. The cost of a jacket was $4 more than the cost of a hoodie. He paid $288 more on hoodies than on jackets. Find the cost of 5 hoodies and 10 jackets.

	Hoodies	Jackets
Number of sets	2 sets	1 set
Compare each		$4 more
Total value	$648	$360

Total cost of jackets
= (1008 - 288) ÷ 2
= $360

Total cost of hoodies
= 360 + 288
= $648

2 sets of hoodies = $648
1 set of hoodies = 648 ÷ 2 = $324 

1 set of jackets = $360

Difference in 1 set of jackets and 1 set of hoodies
= 360 - 324
= $36

Number of clothing in 1 set
= 36 ÷ 4
= 9

Cost of 1 hoodie
= 324 ÷ 9
= $36

Cost of 1 jacket
= 36 + 4
= $40

Price of 5 hoodies and 10 jackets
= (5 x 36) + (10 x 40)
= 180 + 400
= $580

Answer(s): $580