Diana had $30 more than Olivia at first. Olivia spent
49 of her money and Diana spent
12 of her money. Given that they had equal amount of money left, how many much did Olivia have at first?
| |
Diana |
Olivia |
More |
Before |
9x1 =
9 u |
2x5 =
10 u |
1 u |
Change |
- 4x1 =
- 4 u |
- 1x5 =
- 5 u |
|
After |
5x1 =
5 u |
1x5 =
5 u |
|
Fraction of money that Olivia had left
= 1 -
49 =
59 Fraction of money that Diana had left
= 1 -
12 =
12 The amount that Diana and Olivia had left is the same. Make the amount that Diana and Olivia had left is the same. LCM of 5 and 1 is 5.
Amount that Olivia had at first = 9 u
Amount that Diana had at first = 10 u
Amount that Diana had more than Olivia at first
= 10 u - 9 u
= 1 u
= $30
Amount that Olivia had at first
= 9 u
= 9 x 30
= $270
Answer(s): $270
