Hazel bought some bracelets and necklaces for her friends. The price of each bracelet was $2.60 while the price of each necklace was $11.90. For every 5 necklaces bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was ¹₃ of the number of necklaces bought. If Hazel paid a total of $1653.30, how much more did she pay for the necklaces than the bracelets?

Necklaces	Bracelets
3x5	1x5
Bought	Free	Bought
5x3	1x3
15 u	3 u	2 u

	Necklaces	Bracelets
	Bought	Free	Bought
Number	15 u	3 u	2 u
Value	$11.90	0	$2.60
Total value	178.5 u	0	5.2 u

The number of necklaces bought is the repeated identity. Make the number of necklaces bought the same.  LCM of 3 and 5 is 15.

Cost of the bought necklaces
= 15 u x 11.90
= 178.5 u

Cost of the bought bracelets
= 2 u x 2.60  
= 5.2 u

Total cost of the bought items
= 178.5 u + 5.2 u
= 183.7 u

183.7 u = 1653.30

1 u = 1653.30 ÷ 183.70 = 9

Amount that she paid more for the necklaces than the bracelets
= 178.5 u - 5.2 u 
= 173.3 u
= 173.3 x 9
= $1559.70

Answer(s): $1559.70