Dana bought some bracelets and rings for her friends. The price of each bracelet was $3.50 while the price of each ring was $10.60. For every 7 rings bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was ¹₄ of the number of rings bought. If Dana paid a total of $2765.70, how much more did she pay for the rings than the bracelets?

Rings	Bracelets
4x7	1x7
Bought	Free	Bought
7x4	1x4
28 u	4 u	3 u

	Rings	Bracelets
	Bought	Free	Bought
Number	28 u	4 u	3 u
Value	$10.60	0	$3.50
Total value	296.8 u	0	10.5 u

The number of rings bought is the repeated identity. Make the number of rings bought the same.  LCM of 4 and 7 is 28.

Cost of the bought rings
= 28 u x 10.60
= 296.8 u

Cost of the bought bracelets
= 3 u x 3.50  
= 10.5 u

Total cost of the bought items
= 296.8 u + 10.5 u
= 307.3 u

307.3 u = 2765.70

1 u = 2765.70 ÷ 307.30 = 9

Amount that she paid more for the rings than the bracelets
= 296.8 u - 10.5 u 
= 286.3 u
= 286.3 x 9
= $2576.70

Answer(s): $2576.70