Olivia bought some necklaces and bracelets for her friends. The price of each necklace was $2.10 while the price of each bracelet was $11.40. For every 8 bracelets bought, she was given one such necklace for free. After receiving the free necklaces, the number of necklaces was ¹₃ of the number of bracelets bought. If Olivia paid a total of $3125.10, how much more did she pay for the bracelets than the necklaces?

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

	Bracelets	Necklaces
	Bought	Free	Bought
Number	24 u	3 u	5 u
Value	$11.40	0	$2.10
Total value	273.6 u	0	10.5 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 11.40
= 273.6 u

Cost of the bought necklaces
= 5 u x 2.10  
= 10.5 u

Total cost of the bought items
= 273.6 u + 10.5 u
= 284.1 u

284.1 u = 3125.10

1 u = 3125.10 ÷ 284.10 = 11

Amount that she paid more for the bracelets than the necklaces
= 273.6 u - 10.5 u 
= 263.1 u
= 263.1 x 11
= $2894.10

Answer(s): $2894.10