Roshel bought some necklaces and bracelets for her friends. The price of each necklace was $4.70 while the price of each bracelet was $14.70. For every 7 bracelets bought, she was given one such necklace for free. After receiving the free necklaces, the number of necklaces was ¹₅ of the number of bracelets bought. If Roshel paid a total of $2095.60, how much more did she pay for the bracelets than the necklaces?

Bracelets	Necklaces
5x7	1x7
Bought	Free	Bought
7x5	1x5
35 u	5 u	2 u

	Bracelets	Necklaces
	Bought	Free	Bought
Number	35 u	5 u	2 u
Value	$14.70	0	$4.70
Total value	514.5 u	0	9.4 u

The number of bracelets bought is the repeated identity. Make the number of bracelets bought the same.  LCM of 5 and 7 is 35.

Cost of the bought bracelets
= 35 u x 14.70
= 514.5 u

Cost of the bought necklaces
= 2 u x 4.70  
= 9.4 u

Total cost of the bought items
= 514.5 u + 9.4 u
= 523.9 u

523.9 u = 2095.60

1 u = 2095.60 ÷ 523.90 = 4

Amount that she paid more for the bracelets than the necklaces
= 514.5 u - 9.4 u 
= 505.1 u
= 505.1 x 4
= $2020.40

Answer(s): $2020.40