Nick spent $875 on shirts and sweaters. The number of sweaters he bought was ¹₄ the number of shirts he bought. The cost of a sweater was $10 more than the cost of a shirt. He paid $445 more on shirts than on sweaters. Find the cost of 3 shirts and 4 sweaters.

	Shirts	Sweaters
Number of sets	4 sets	1 set
Compare each		$10 more
Total value	$660	$215

Total cost of sweaters
= (875 - 445) ÷ 2
= $215

Total cost of shirts
= 215 + 445
= $660

4 sets of shirts = $660
1 set of shirts = 660 ÷ 4 = $165 

1 set of sweaters = $215

Difference in 1 set of sweaters and 1 set of shirts
= 215 - 165
= $50

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

Cost of 1 shirt
= 165 ÷ 5
= $33

Cost of 1 sweater
= 33 + 10
= $43

Price of 3 shirts and 4 sweaters
= (3 x 33) + (4 x 43)
= 99 + 172
= $271

Answer(s): $271