Nick spent $1170 on shirts and hoodies. The number of hoodies he bought was ¹₂ the number of shirts he bought. The cost of a hoodie was $9 more than the cost of a shirt. He paid $270 more on shirts than on hoodies. Find the cost of 5 shirts and 3 hoodies.

	Shirts	Hoodies
Number of sets	2 sets	1 set
Compare each		$9 more
Total value	$720	$450

Total cost of hoodies
= (1170 - 270) ÷ 2
= $450

Total cost of shirts
= 450 + 270
= $720

2 sets of shirts = $720
1 set of shirts = 720 ÷ 2 = $360 

1 set of hoodies = $450

Difference in 1 set of hoodies and 1 set of shirts
= 450 - 360
= $90

Number of clothing in 1 set
= 90 ÷ 9
= 10

Cost of 1 shirt
= 360 ÷ 10
= $36

Cost of 1 hoodie
= 36 + 9
= $45

Price of 5 shirts and 3 hoodies
= (5 x 36) + (3 x 45)
= 180 + 135
= $315

Answer(s): $315