Nick spent $710 on hoodies and skirts. The number of skirts he bought was ¹₃ the number of hoodies he bought. The cost of a skirt was $10 more than the cost of a hoodie. He paid $280 more on hoodies than on skirts. Find the cost of 5 hoodies and 8 skirts.

	Hoodies	Skirts
Number of sets	3 sets	1 set
Compare each		$10 more
Total value	$495	$215

Total cost of skirts
= (710 - 280) ÷ 2
= $215

Total cost of hoodies
= 215 + 280
= $495

3 sets of hoodies = $495
1 set of hoodies = 495 ÷ 3 = $165 

1 set of skirts = $215

Difference in 1 set of skirts and 1 set of hoodies
= 215 - 165
= $50

Number of clothing in 1 set
= 50 ÷ 10
= 5

Cost of 1 hoodie
= 165 ÷ 5
= $33

Cost of 1 skirt
= 33 + 10
= $43

Price of 5 hoodies and 8 skirts
= (5 x 33) + (8 x 43)
= 165 + 344
= $509

Answer(s): $509