Roshel bought some bracelets and rings for her friends. The price of each bracelet was $4.70 while the price of each ring was $11.40. 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 Roshel paid a total of $3666.30, 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	$11.40	0	$4.70
Total value	319.2 u	0	14.1 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 11.40
= 319.2 u

Cost of the bought bracelets
= 3 u x 4.70  
= 14.1 u

Total cost of the bought items
= 319.2 u + 14.1 u
= 333.3 u

333.3 u = 3666.30

1 u = 3666.30 ÷ 333.30 = 11

Amount that she paid more for the rings than the bracelets
= 319.2 u - 14.1 u 
= 305.1 u
= 305.1 x 11
= $3356.10

Answer(s): $3356.10