Nick spent $2440 on shirts and cardigans. The number of cardigans he bought was ¹₃ the number of shirts he bought. The cost of a cardigan was $4 more than the cost of a shirt. He paid $1160 more on shirts than on cardigans. Find the cost of 5 shirts and 8 cardigans.

	Shirts	Cardigans
Number of sets	3 sets	1 set
Compare each		$4 more
Total value	$1800	$640

Total cost of cardigans
= (2440 - 1160) ÷ 2
= $640

Total cost of shirts
= 640 + 1160
= $1800

3 sets of shirts = $1800
1 set of shirts = 1800 ÷ 3 = $600 

1 set of cardigans = $640

Difference in 1 set of cardigans and 1 set of shirts
= 640 - 600
= $40

Number of clothing in 1 set
= 40 ÷ 4
= 10

Cost of 1 shirt
= 600 ÷ 10
= $60

Cost of 1 cardigan
= 60 + 4
= $64

Price of 5 shirts and 8 cardigans
= (5 x 60) + (8 x 64)
= 300 + 512
= $812

Answer(s): $812