Roshel bought some bracelets and necklaces for her friends. The price of each bracelet was $4.70 while the price of each necklace was $11.50. For every 7 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 Roshel paid a total of $1301.50, how much more did she pay for the necklaces than the bracelets?

Necklaces	Bracelets
3x7	1x7
Bought	Free	Bought
7x3	1x3
21 u	3 u	4 u

	Necklaces	Bracelets
	Bought	Free	Bought
Number	21 u	3 u	4 u
Value	$11.50	0	$4.70
Total value	241.5 u	0	18.8 u

The number of necklaces bought is the repeated identity. Make the number of necklaces bought the same.  LCM of 3 and 7 is 21.

Cost of the bought necklaces
= 21 u x 11.50
= 241.5 u

Cost of the bought bracelets
= 4 u x 4.70  
= 18.8 u

Total cost of the bought items
= 241.5 u + 18.8 u
= 260.3 u

260.3 u = 1301.50

1 u = 1301.50 ÷ 260.30 = 5

Amount that she paid more for the necklaces than the bracelets
= 241.5 u - 18.8 u 
= 222.7 u
= 222.7 x 5
= $1113.50

Answer(s): $1113.50