Linda bought some bracelets and rings for her friends. The price of each bracelet was $2.70 while the price of each ring was $10.90. For every 5 rings bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was ¹₃ of the number of rings bought. If Linda paid a total of $1182.30, how much more did she pay for the rings than the bracelets?

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

	Rings	Bracelets
	Bought	Free	Bought
Number	15 u	3 u	2 u
Value	$10.90	0	$2.70
Total value	163.5 u	0	5.4 u

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

Cost of the bought rings
= 15 u x 10.90
= 163.5 u

Cost of the bought bracelets
= 2 u x 2.70  
= 5.4 u

Total cost of the bought items
= 163.5 u + 5.4 u
= 168.9 u

168.9 u = 1182.30

1 u = 1182.30 ÷ 168.90 = 7

Amount that she paid more for the rings than the bracelets
= 163.5 u - 5.4 u 
= 158.1 u
= 158.1 x 7
= $1106.70

Answer(s): $1106.70