Penelope had $22 more than Vanessa at first. Vanessa spent
59 of her money and Penelope spent
35 of her money. Given that they had equal amount of money left, how many much did Vanessa have at first?
| |
Penelope |
Vanessa |
More |
Before |
9x1 =
9 u |
5x2 =
10 u |
1 u |
Change |
- 5x1 =
- 5 u |
- 3x2 =
- 6 u |
|
After |
4x1 =
4 u |
2x2 =
4 u |
|
Fraction of money that Vanessa had left
= 1 -
59 =
49 Fraction of money that Penelope had left
= 1 -
35 =
25 The amount that Penelope and Vanessa had left is the same. Make the amount that Penelope and Vanessa had left is the same. LCM of 4 and 2 is 4.
Amount that Vanessa had at first = 9 u
Amount that Penelope had at first = 10 u
Amount that Penelope had more than Vanessa at first
= 10 u - 9 u
= 1 u
= $22
Amount that Vanessa had at first
= 9 u
= 9 x 22
= $198
Answer(s): $198
