Nick spent $1345 on sweaters and blouses. The number of blouses he bought was ¹₄ the number of sweaters he bought. The cost of a blouse was $9 more than the cost of a sweater. He paid $735 more on sweaters than on blouses. Find the cost of 3 sweaters and 8 blouses.

	Sweaters	Blouses
Number of sets	4 sets	1 set
Compare each		$9 more
Total value	$1040	$305

Total cost of blouses
= (1345 - 735) ÷ 2
= $305

Total cost of sweaters
= 305 + 735
= $1040

4 sets of sweaters = $1040
1 set of sweaters = 1040 ÷ 4 = $260 

1 set of blouses = $305

Difference in 1 set of blouses and 1 set of sweaters
= 305 - 260
= $45

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

Cost of 1 sweater
= 260 ÷ 5
= $52

Cost of 1 blouse
= 52 + 9
= $61

Price of 3 sweaters and 8 blouses
= (3 x 52) + (8 x 61)
= 156 + 488
= $644

Answer(s): $644