Joelle bought some rings and bracelets for her friends. The price of each ring was $4.50 while the price of each bracelet was $10.20. 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 Joelle paid a total of $1603.80, 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	$10.20	0	$4.50
Total value	244.8 u	0	22.5 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 10.20
= 244.8 u

Cost of the bought rings
= 5 u x 4.50  
= 22.5 u

Total cost of the bought items
= 244.8 u + 22.5 u
= 267.3 u

267.3 u = 1603.80

1 u = 1603.80 ÷ 267.30 = 6

Amount that she paid more for the bracelets than the rings
= 244.8 u - 22.5 u 
= 222.3 u
= 222.3 x 6
= $1333.80

Answer(s): $1333.80