Nick spent $575 on skirts and sweaters. The number of sweaters he bought was ¹₂ the number of skirts he bought. The cost of a sweater was $7 more than the cost of a skirt. He paid $145 more on skirts than on sweaters. Find the cost of 3 skirts and 6 sweaters.

	Skirts	Sweaters
Number of sets	2 sets	1 set
Compare each		$7 more
Total value	$360	$215

Total cost of sweaters
= (575 - 145) ÷ 2
= $215

Total cost of skirts
= 215 + 145
= $360

2 sets of skirts = $360
1 set of skirts = 360 ÷ 2 = $180 

1 set of sweaters = $215

Difference in 1 set of sweaters and 1 set of skirts
= 215 - 180
= $35

Number of clothing in 1 set
= 35 ÷ 7
= 5

Cost of 1 skirt
= 180 ÷ 5
= $36

Cost of 1 sweater
= 36 + 7
= $43

Price of 3 skirts and 6 sweaters
= (3 x 36) + (6 x 43)
= 108 + 258
= $366

Answer(s): $366