Jean bought some bracelets and necklaces for her friends. The price of each bracelet was $4.30 while the price of each necklace was $11.70. 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 Jean paid a total of $1472.80, 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	$11.70	0	$4.30
Total value	175.5 u	0	8.6 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 11.70
= 175.5 u

Cost of the bought bracelets
= 2 u x 4.30  
= 8.6 u

Total cost of the bought items
= 175.5 u + 8.6 u
= 184.1 u

184.1 u = 1472.80

1 u = 1472.80 ÷ 184.10 = 8

Amount that she paid more for the necklaces than the bracelets
= 175.5 u - 8.6 u 
= 166.9 u
= 166.9 x 8
= $1335.20

Answer(s): $1335.20