Nick spent $1715 on shirts and cardigans. The number of cardigans he bought was ¹₃ the number of shirts he bought. The cost of a cardigan was $9 more than the cost of a shirt. He paid $763 more on shirts than on cardigans. Find the cost of 4 shirts and 5 cardigans.

	Shirts	Cardigans
Number of sets	3 sets	1 set
Compare each		$9 more
Total value	$1239	$476

Total cost of cardigans
= (1715 - 763) ÷ 2
= $476

Total cost of shirts
= 476 + 763
= $1239

3 sets of shirts = $1239
1 set of shirts = 1239 ÷ 3 = $413 

1 set of cardigans = $476

Difference in 1 set of cardigans and 1 set of shirts
= 476 - 413
= $63

Number of clothing in 1 set
= 63 ÷ 9
= 7

Cost of 1 shirt
= 413 ÷ 7
= $59

Cost of 1 cardigan
= 59 + 9
= $68

Price of 4 shirts and 5 cardigans
= (4 x 59) + (5 x 68)
= 236 + 340
= $576

Answer(s): $576