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