Nick spent $945 on skirts and hoodies. The number of hoodies he bought was ¹₄ the number of skirts he bought. The cost of a hoodie was $9 more than the cost of a skirt. He paid $495 more on skirts than on hoodies. Find the cost of 7 skirts and 6 hoodies.

	Skirts	Hoodies
Number of sets	4 sets	1 set
Compare each		$9 more
Total value	$720	$225

Total cost of hoodies
= (945 - 495) ÷ 2
= $225

Total cost of skirts
= 225 + 495
= $720

4 sets of skirts = $720
1 set of skirts = 720 ÷ 4 = $180 

1 set of hoodies = $225

Difference in 1 set of hoodies and 1 set of skirts
= 225 - 180
= $45

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

Cost of 1 skirt
= 180 ÷ 5
= $36

Cost of 1 hoodie
= 36 + 9
= $45

Price of 7 skirts and 6 hoodies
= (7 x 36) + (6 x 45)
= 252 + 270
= $522

Answer(s): $522