Winnie bought some bracelets and rings for her friends. The price of each bracelet was $2.60 while the price of each ring was $13.70. 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 Winnie paid a total of $1565.60, 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	$13.70	0	$2.60
Total value	383.6 u	0	7.8 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 13.70
= 383.6 u

Cost of the bought bracelets
= 3 u x 2.60  
= 7.8 u

Total cost of the bought items
= 383.6 u + 7.8 u
= 391.4 u

391.4 u = 1565.60

1 u = 1565.60 ÷ 391.40 = 4

Amount that she paid more for the rings than the bracelets
= 383.6 u - 7.8 u 
= 375.8 u
= 375.8 x 4
= $1503.20

Answer(s): $1503.20