Esther had $19 more than Rachel at first. Rachel spent
12 of her money and Esther spent
35 of her money. Given that they had equal amount of money left, how many much did Rachel have at first?
| |
Esther |
Rachel |
More |
Before |
2x2 =
2 u |
5x1 =
5 u |
1 u |
Change |
- 1x2 =
- 2 u |
- 3x1 =
- 3 u |
|
After |
1x2 =
2 u |
2x1 =
2 u |
|
Fraction of money that Rachel had left
= 1 -
12 =
12 Fraction of money that Esther had left
= 1 -
35 =
25 The amount that Esther and Rachel had left is the same. Make the amount that Esther and Rachel had left is the same. LCM of 1 and 2 is 2.
Amount that Rachel had at first = 2 u
Amount that Esther had at first = 5 u
Amount that Esther had more than Rachel at first
= 5 u - 2 u
= 1 u
= $19
Amount that Rachel had at first
= 2 u
= 2 x 19
= $38
Answer(s): $38
