Zara bought some bracelets and necklaces for her friends. The price of each bracelet was $3.70 while the price of each necklace was $10.30. 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 Zara paid a total of $485.70, 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	$10.30	0	$3.70
Total value	154.5 u	0	7.4 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 10.30
= 154.5 u

Cost of the bought bracelets
= 2 u x 3.70  
= 7.4 u

Total cost of the bought items
= 154.5 u + 7.4 u
= 161.9 u

161.9 u = 485.70

1 u = 485.70 ÷ 161.90 = 3

Amount that she paid more for the necklaces than the bracelets
= 154.5 u - 7.4 u 
= 147.1 u
= 147.1 x 3
= $441.30

Answer(s): $441.30