Sabrina bought some rings and bracelets for her friends. The price of each ring was $2.60 while the price of each bracelet was $12.20. 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 Sabrina paid a total of $3199.20, 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	$12.20	0	$2.60
Total value	256.2 u	0	10.4 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 12.20
= 256.2 u

Cost of the bought rings
= 4 u x 2.60  
= 10.4 u

Total cost of the bought items
= 256.2 u + 10.4 u
= 266.6 u

266.6 u = 3199.20

1 u = 3199.20 ÷ 266.60 = 12

Amount that she paid more for the bracelets than the rings
= 256.2 u - 10.4 u 
= 245.8 u
= 245.8 x 12
= $2949.60

Answer(s): $2949.60