Nick spent $640 on jackets and cardigans. The number of cardigans he bought was ¹₃ the number of jackets he bought. The cost of a cardigan was $4 more than the cost of a jacket. He paid $296 more on jackets than on cardigans. Find the cost of 7 jackets and 10 cardigans.

	Jackets	Cardigans
Number of sets	3 sets	1 set
Compare each		$4 more
Total value	$468	$172

Total cost of cardigans
= (640 - 296) ÷ 2
= $172

Total cost of jackets
= 172 + 296
= $468

3 sets of jackets = $468
1 set of jackets = 468 ÷ 3 = $156 

1 set of cardigans = $172

Difference in 1 set of cardigans and 1 set of jackets
= 172 - 156
= $16

Number of clothing in 1 set
= 16 ÷ 4
= 4

Cost of 1 jacket
= 156 ÷ 4
= $39

Cost of 1 cardigan
= 39 + 4
= $43

Price of 7 jackets and 10 cardigans
= (7 x 39) + (10 x 43)
= 273 + 430
= $703

Answer(s): $703