Emily bought some bracelets and rings for her friends. The price of each bracelet was $2.40 while the price of each ring was $12.90. 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 Emily paid a total of $1825.20, 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	$12.90	0	$2.40
Total value	451.5 u	0	4.8 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 12.90
= 451.5 u

Cost of the bought bracelets
= 2 u x 2.40  
= 4.8 u

Total cost of the bought items
= 451.5 u + 4.8 u
= 456.3 u

456.3 u = 1825.20

1 u = 1825.20 ÷ 456.30 = 4

Amount that she paid more for the rings than the bracelets
= 451.5 u - 4.8 u 
= 446.7 u
= 446.7 x 4
= $1786.80

Answer(s): $1786.80