Nicole bought some bracelets and necklaces for her friends. The price of each bracelet was $3.30 while the price of each necklace was $10.30. For every 8 necklaces bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was ¹₃ of the number of necklaces bought. If Nicole paid a total of $2900.70, how much more did she pay for the necklaces than the bracelets?

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

	Necklaces	Bracelets
	Bought	Free	Bought
Number	24 u	3 u	5 u
Value	$10.30	0	$3.30
Total value	247.2 u	0	16.5 u

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

Cost of the bought necklaces
= 24 u x 10.30
= 247.2 u

Cost of the bought bracelets
= 5 u x 3.30  
= 16.5 u

Total cost of the bought items
= 247.2 u + 16.5 u
= 263.7 u

263.7 u = 2900.70

1 u = 2900.70 ÷ 263.70 = 11

Amount that she paid more for the necklaces than the bracelets
= 247.2 u - 16.5 u 
= 230.7 u
= 230.7 x 11
= $2537.70

Answer(s): $2537.70