Fanny had $26 more than Olivia at first. Olivia spent
35 of her money and Fanny spent
23 of her money. Given that they had equal amount of money left, how many much did Olivia have at first?
| |
Fanny |
Olivia |
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 Olivia had left
= 1 -
35 =
25 Fraction of money that Fanny had left
= 1 -
23 =
13 The amount that Fanny and Olivia had left is the same. Make the amount that Fanny and Olivia had left is the same. LCM of 2 and 1 is 2.
Amount that Olivia had at first = 5 u
Amount that Fanny had at first = 6 u
Amount that Fanny had more than Olivia at first
= 6 u - 5 u
= 1 u
= $26
Amount that Olivia had at first
= 5 u
= 5 x 26
= $130
Answer(s): $130
