Elyse bought some rings and bracelets for her friends. The price of each ring was $2.90 while the price of each bracelet was $12.80. 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 Elyse paid a total of $3303.90, 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	$12.80	0	$2.90
Total value	358.4 u	0	8.7 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 12.80
= 358.4 u

Cost of the bought rings
= 3 u x 2.90  
= 8.7 u

Total cost of the bought items
= 358.4 u + 8.7 u
= 367.1 u

367.1 u = 3303.90

1 u = 3303.90 ÷ 367.10 = 9

Amount that she paid more for the bracelets than the rings
= 358.4 u - 8.7 u 
= 349.7 u
= 349.7 x 9
= $3147.30

Answer(s): $3147.30