Gem had $20 more than Esther at first. Esther spent
57 of her money and Gem spent
34 of her money. Given that they had equal amount of money left, how many much did Esther have at first?
| |
Gem |
Esther |
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 Esther had left
= 1 -
57 =
27 Fraction of money that Gem had left
= 1 -
34 =
14 The amount that Gem and Esther had left is the same. Make the amount that Gem and Esther had left is the same. LCM of 2 and 1 is 2.
Amount that Esther had at first = 7 u
Amount that Gem had at first = 8 u
Amount that Gem had more than Esther at first
= 8 u - 7 u
= 1 u
= $20
Amount that Esther had at first
= 7 u
= 7 x 20
= $140
Answer(s): $140
