Gabby bought some bracelets and necklaces for her friends. The price of each bracelet was $4.60 while the price of each necklace was $13.50. For every 7 necklaces bought, she was given one such bracelet for free. After receiving the free bracelets, the number of bracelets was
15 of the number of necklaces bought. If Gabby paid a total of $1926.80, how much more did she pay for the necklaces than the bracelets?
Necklaces |
Bracelets |
5x7 |
1x7 |
Bought |
Free |
Bought |
7x5 |
1x5 |
|
35 u |
5 u |
2 u |
|
Necklaces |
Bracelets |
|
Bought |
Free |
Bought |
Number |
35 u |
5 u |
2 u |
Value |
$13.50 |
0 |
$4.60 |
Total value |
472.5 u |
0 |
9.2 u |
The number of necklaces bought is the repeated identity. Make the number of necklaces bought the same. LCM of 5 and 7 is 35.
Cost of the bought necklaces
= 35 u x 13.50
= 472.5 u
Cost of the bought bracelets
= 2 u x 4.60
= 9.2 u
Total cost of the bought items
= 472.5 u + 9.2 u
= 481.7 u
481.7 u = 1926.80
1 u = 1926.80 ÷ 481.70 = 4
Amount that she paid more for the necklaces than the bracelets
= 472.5 u - 9.2 u
= 463.3 u
= 463.3 x 4
= $1853.20
Answer(s): $1853.20