Nick spent $1140 on jackets and sweaters. The number of sweaters he bought was ¹₃ the number of jackets he bought. The cost of a sweater was $8 more than the cost of a jacket. He paid $510 more on jackets than on sweaters. Find the cost of 9 jackets and 8 sweaters.

	Jackets	Sweaters
Number of sets	3 sets	1 set
Compare each		$8 more
Total value	$825	$315

Total cost of sweaters
= (1140 - 510) ÷ 2
= $315

Total cost of jackets
= 315 + 510
= $825

3 sets of jackets = $825
1 set of jackets = 825 ÷ 3 = $275 

1 set of sweaters = $315

Difference in 1 set of sweaters and 1 set of jackets
= 315 - 275
= $40

Number of clothing in 1 set
= 40 ÷ 8
= 5

Cost of 1 jacket
= 275 ÷ 5
= $55

Cost of 1 sweater
= 55 + 8
= $63

Price of 9 jackets and 8 sweaters
= (9 x 55) + (8 x 63)
= 495 + 504
= $999

Answer(s): $999