Betty had $24 more than Penelope at first. Penelope spent
25 of her money and Betty spent
12 of her money. Given that they had equal amount of money left, how many much did Penelope have at first?
| |
Betty |
Penelope |
More |
Before |
5x1 =
5 u |
2x3 =
6 u |
1 u |
Change |
- 2x1 =
- 2 u |
- 1x3 =
- 3 u |
|
After |
3x1 =
3 u |
1x3 =
3 u |
|
Fraction of money that Penelope had left
= 1 -
25 =
35 Fraction of money that Betty had left
= 1 -
12 =
12 The amount that Betty and Penelope had left is the same. Make the amount that Betty and Penelope had left is the same. LCM of 3 and 1 is 3.
Amount that Penelope had at first = 5 u
Amount that Betty had at first = 6 u
Amount that Betty had more than Penelope at first
= 6 u - 5 u
= 1 u
= $24
Amount that Penelope had at first
= 5 u
= 5 x 24
= $120
Answer(s): $120
