Tammy bought some rings and bracelets for her friends. The price of each ring was $3.90 while the price of each bracelet was $13.90. For every 8 bracelets bought, she was given one such ring for free. After receiving the free rings, the number of rings was ¹₃ of the number of bracelets bought. If Tammy paid a total of $1765.50, how much more did she pay for the bracelets than the rings?

Bracelets	Rings
3x8	1x8
Bought	Free	Bought
8x3	1x3
24 u	3 u	5 u

	Bracelets	Rings
	Bought	Free	Bought
Number	24 u	3 u	5 u
Value	$13.90	0	$3.90
Total value	333.6 u	0	19.5 u

The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same.  LCM of 3 and 8 is 24.

Cost of the bought bracelets
= 24 u x 13.90
= 333.6 u

Cost of the bought rings
= 5 u x 3.90  
= 19.5 u

Total cost of the bought items
= 333.6 u + 19.5 u
= 353.1 u

353.1 u = 1765.50

1 u = 1765.50 ÷ 353.10 = 5

Amount that she paid more for the bracelets than the rings
= 333.6 u - 19.5 u 
= 314.1 u
= 314.1 x 5
= $1570.50

Answer(s): $1570.50