Olivia bought some bracelets and necklaces for her friends. The price of each bracelet was $2.80 while the price of each necklace was $12.50. 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 Olivia paid a total of $1158.60, 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 |
$12.50 |
0 |
$2.80 |
Total value |
187.5 u |
0 |
5.6 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 12.50
= 187.5 u
Cost of the bought bracelets
= 2 u x 2.80
= 5.6 u
Total cost of the bought items
= 187.5 u + 5.6 u
= 193.1 u
193.1 u = 1158.60
1 u = 1158.60 ÷ 193.10 = 6
Amount that she paid more for the necklaces than the bracelets
= 187.5 u - 5.6 u
= 181.9 u
= 181.9 x 6
= $1091.40
Answer(s): $1091.40