Olivia bought some bracelets and rings for her friends. The price of each bracelet was $3.60 while the price of each ring was $11.30. For every 7 rings bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was ¹₅ of the number of rings bought. If Olivia paid a total of $2416.20, how much more did she pay for the rings than the bracelets?

Rings	Bracelets
5x7	1x7
Bought	Free	Bought
7x5	1x5
35 u	5 u	2 u

	Rings	Bracelets
	Bought	Free	Bought
Number	35 u	5 u	2 u
Value	$11.30	0	$3.60
Total value	395.5 u	0	7.2 u

The number of rings bought is the repeated identity. Make the number of rings bought the same.  LCM of 5 and 7 is 35.

Cost of the bought rings
= 35 u x 11.30
= 395.5 u

Cost of the bought bracelets
= 2 u x 3.60  
= 7.2 u

Total cost of the bought items
= 395.5 u + 7.2 u
= 402.7 u

402.7 u = 2416.20

1 u = 2416.20 ÷ 402.70 = 6

Amount that she paid more for the rings than the bracelets
= 395.5 u - 7.2 u 
= 388.3 u
= 388.3 x 6
= $2329.80

Answer(s): $2329.80