Cathy had $25 more than Penelope at first. Penelope spent
57 of her money and Cathy spent
34 of her money. Given that they had equal amount of money left, how many much did Penelope have at first?
| |
Cathy |
Penelope |
More |
Before |
7x1 =
7 u |
4x2 =
8 u |
1 u |
Change |
- 5x1 =
- 5 u |
- 3x2 =
- 6 u |
|
After |
2x1 =
2 u |
1x2 =
2 u |
|
Fraction of money that Penelope had left
= 1 -
57 =
27 Fraction of money that Cathy had left
= 1 -
34 =
14 The amount that Cathy and Penelope had left is the same. Make the amount that Cathy and Penelope had left is the same. LCM of 2 and 1 is 2.
Amount that Penelope had at first = 7 u
Amount that Cathy had at first = 8 u
Amount that Cathy had more than Penelope at first
= 8 u - 7 u
= 1 u
= $25
Amount that Penelope had at first
= 7 u
= 7 x 25
= $175
Answer(s): $175
