Shannon bought some rings and bracelets for her friends. The price of each ring was $2.80 while the price of each bracelet was $11.90. For every 7 bracelets bought, she was given one such ring for free. After receiving the free rings, the number of rings was ¹₃ of the number of bracelets bought. If Shannon paid a total of $2872.10, how much more did she pay for the bracelets than the rings?

Bracelets	Rings
3x7	1x7
Bought	Free	Bought
7x3	1x3
21 u	3 u	4 u

	Bracelets	Rings
	Bought	Free	Bought
Number	21 u	3 u	4 u
Value	$11.90	0	$2.80
Total value	249.9 u	0	11.2 u

The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same.  LCM of 3 and 7 is 21.

Cost of the bought bracelets
= 21 u x 11.90
= 249.9 u

Cost of the bought rings
= 4 u x 2.80  
= 11.2 u

Total cost of the bought items
= 249.9 u + 11.2 u
= 261.1 u

261.1 u = 2872.10

1 u = 2872.10 ÷ 261.10 = 11

Amount that she paid more for the bracelets than the rings
= 249.9 u - 11.2 u 
= 238.7 u
= 238.7 x 11
= $2625.70

Answer(s): $2625.70