Gem bought some bracelets and rings for her friends. The price of each bracelet was $3.30 while the price of each ring was $14.30. 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 Gem paid a total of $2877.60, 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	$14.30	0	$3.30
Total value	343.2 u	0	16.5 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 14.30
= 343.2 u

Cost of the bought bracelets
= 5 u x 3.30  
= 16.5 u

Total cost of the bought items
= 343.2 u + 16.5 u
= 359.7 u

359.7 u = 2877.60

1 u = 2877.60 ÷ 359.70 = 8

Amount that she paid more for the rings than the bracelets
= 343.2 u - 16.5 u 
= 326.7 u
= 326.7 x 8
= $2613.60

Answer(s): $2613.60