Nick spent $1395 on hoodies and cardigans. The number of cardigans he bought was ¹₄ the number of hoodies he bought. The cost of a cardigan was $4 more than the cost of a hoodie. He paid $805 more on hoodies than on cardigans. Find the cost of 6 hoodies and 5 cardigans.

	Hoodies	Cardigans
Number of sets	4 sets	1 set
Compare each		$4 more
Total value	$1100	$295

Total cost of cardigans
= (1395 - 805) ÷ 2
= $295

Total cost of hoodies
= 295 + 805
= $1100

4 sets of hoodies = $1100
1 set of hoodies = 1100 ÷ 4 = $275 

1 set of cardigans = $295

Difference in 1 set of cardigans and 1 set of hoodies
= 295 - 275
= $20

Number of clothing in 1 set
= 20 ÷ 4
= 5

Cost of 1 hoodie
= 275 ÷ 5
= $55

Cost of 1 cardigan
= 55 + 4
= $59

Price of 6 hoodies and 5 cardigans
= (6 x 55) + (5 x 59)
= 330 + 295
= $625

Answer(s): $625