Yen bought some bracelets and necklaces for her friends. The price of each bracelet was $4.40 while the price of each necklace was $11.90. For every 5 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 Yen paid a total of $1123.80, how much more did she pay for the necklaces than the bracelets?

Necklaces	Bracelets
3x5	1x5
Bought	Free	Bought
5x3	1x3
15 u	3 u	2 u

	Necklaces	Bracelets
	Bought	Free	Bought
Number	15 u	3 u	2 u
Value	$11.90	0	$4.40
Total value	178.5 u	0	8.8 u

The number of necklaces bought is the repeated identity. Make the number of necklaces bought the same.  LCM of 3 and 5 is 15.

Cost of the bought necklaces
= 15 u x 11.90
= 178.5 u

Cost of the bought bracelets
= 2 u x 4.40  
= 8.8 u

Total cost of the bought items
= 178.5 u + 8.8 u
= 187.3 u

187.3 u = 1123.80

1 u = 1123.80 ÷ 187.30 = 6

Amount that she paid more for the necklaces than the bracelets
= 178.5 u - 8.8 u 
= 169.7 u
= 169.7 x 6
= $1018.20

Answer(s): $1018.20