Zoe bought some rings and bracelets for her friends. The price of each ring was $4.10 while the price of each bracelet was $13.30. For every 7 bracelets bought, she was given one such ring for free. After receiving the free rings, the number of rings was ¹₄ of the number of bracelets bought. If Zoe paid a total of $4616.40, how much more did she pay for the bracelets than the rings?

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

	Bracelets	Rings
	Bought	Free	Bought
Number	28 u	4 u	3 u
Value	$13.30	0	$4.10
Total value	372.4 u	0	12.3 u

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

Cost of the bought bracelets
= 28 u x 13.30
= 372.4 u

Cost of the bought rings
= 3 u x 4.10  
= 12.3 u

Total cost of the bought items
= 372.4 u + 12.3 u
= 384.7 u

384.7 u = 4616.40

1 u = 4616.40 ÷ 384.70 = 12

Amount that she paid more for the bracelets than the rings
= 372.4 u - 12.3 u 
= 360.1 u
= 360.1 x 12
= $4321.20

Answer(s): $4321.20