Xuan bought some bracelets and necklaces for her friends. The price of each bracelet was $3.30 while the price of each necklace was $14.50. 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 Xuan paid a total of $2689.20, 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 |
$14.50 |
0 |
$3.30 |
Total value |
217.5 u |
0 |
6.6 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 14.50
= 217.5 u
Cost of the bought bracelets
= 2 u x 3.30
= 6.6 u
Total cost of the bought items
= 217.5 u + 6.6 u
= 224.1 u
224.1 u = 2689.20
1 u = 2689.20 ÷ 224.10 = 12
Amount that she paid more for the necklaces than the bracelets
= 217.5 u - 6.6 u
= 210.9 u
= 210.9 x 12
= $2530.80
Answer(s): $2530.80