Gem had $18 more than Zoe at first. Zoe 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 Zoe have at first?
| |
Gem |
Zoe |
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 Zoe had left
= 1 -
57 =
27 Fraction of money that Gem had left
= 1 -
34 =
14 The amount that Gem and Zoe had left is the same. Make the amount that Gem and Zoe had left is the same. LCM of 2 and 1 is 2.
Amount that Zoe had at first = 7 u
Amount that Gem had at first = 8 u
Amount that Gem had more than Zoe at first
= 8 u - 7 u
= 1 u
= $18
Amount that Zoe had at first
= 7 u
= 7 x 18
= $126
Answer(s): $126
