Esther had $21 more than Zoe at first. Zoe spent
35 of her money and Esther spent
23 of her money. Given that they had equal amount of money left, how many much did Zoe have at first?
| |
Esther |
Zoe |
More |
Before |
5x1 =
5 u |
3x2 =
6 u |
1 u |
Change |
- 3x1 =
- 3 u |
- 2x2 =
- 4 u |
|
After |
2x1 =
2 u |
1x2 =
2 u |
|
Fraction of money that Zoe had left
= 1 -
35 =
25 Fraction of money that Esther had left
= 1 -
23 =
13 The amount that Esther and Zoe had left is the same. Make the amount that Esther and Zoe had left is the same. LCM of 2 and 1 is 2.
Amount that Zoe had at first = 5 u
Amount that Esther had at first = 6 u
Amount that Esther had more than Zoe at first
= 6 u - 5 u
= 1 u
= $21
Amount that Zoe had at first
= 5 u
= 5 x 21
= $105
Answer(s): $105
