Nick spent $780 on jackets and hoodies. The number of hoodies he bought was ¹₄ the number of jackets he bought. The cost of a hoodie was $6 more than the cost of a jacket. He paid $420 more on jackets than on hoodies. Find the cost of 8 jackets and 9 hoodies.

	Jackets	Hoodies
Number of sets	4 sets	1 set
Compare each		$6 more
Total value	$600	$180

Total cost of hoodies
= (780 - 420) ÷ 2
= $180

Total cost of jackets
= 180 + 420
= $600

4 sets of jackets = $600
1 set of jackets = 600 ÷ 4 = $150 

1 set of hoodies = $180

Difference in 1 set of hoodies and 1 set of jackets
= 180 - 150
= $30

Number of clothing in 1 set
= 30 ÷ 6
= 5

Cost of 1 jacket
= 150 ÷ 5
= $30

Cost of 1 hoodie
= 30 + 6
= $36

Price of 8 jackets and 9 hoodies
= (8 x 30) + (9 x 36)
= 240 + 324
= $564

Answer(s): $564