Xylia bought some bracelets and rings for her friends. The price of each bracelet was $4.30 while the price of each ring was $10.20. 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 Xylia paid a total of $798.90, 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	$10.20	0	$4.30
Total value	244.8 u	0	21.5 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 10.20
= 244.8 u

Cost of the bought bracelets
= 5 u x 4.30  
= 21.5 u

Total cost of the bought items
= 244.8 u + 21.5 u
= 266.3 u

266.3 u = 798.90

1 u = 798.90 ÷ 266.30 = 3

Amount that she paid more for the rings than the bracelets
= 244.8 u - 21.5 u 
= 223.3 u
= 223.3 x 3
= $669.90

Answer(s): $669.90