Wendy bought some bracelets and rings for her friends. The price of each bracelet was $2.30 while the price of each ring was $14.20. For every 8 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 Wendy paid a total of $1761.50, how much more did she pay for the rings than the bracelets?

Rings	Bracelets
3x8	1x8
Bought	Free	Bought
8x3	1x3
24 u	3 u	5 u

	Rings	Bracelets
	Bought	Free	Bought
Number	24 u	3 u	5 u
Value	$14.20	0	$2.30
Total value	340.8 u	0	11.5 u

The number of rings bought is the repeated identity. Make the number of rings bought the same.  LCM of 3 and 8 is 24.

Cost of the bought rings
= 24 u x 14.20
= 340.8 u

Cost of the bought bracelets
= 5 u x 2.30  
= 11.5 u

Total cost of the bought items
= 340.8 u + 11.5 u
= 352.3 u

352.3 u = 1761.50

1 u = 1761.50 ÷ 352.30 = 5

Amount that she paid more for the rings than the bracelets
= 340.8 u - 11.5 u 
= 329.3 u
= 329.3 x 5
= $1646.50

Answer(s): $1646.50