Wendy had $18 more than Olivia at first. Olivia spent
47 of her money and Wendy spent
35 of her money. Given that they had equal amount of money left, how many much did Olivia have at first?
|
Wendy |
Olivia |
More |
Before |
7x2 = 7 u |
5x3 = 15 u |
1 u |
Change |
- 4x2 = - 8 u |
- 3x3 = - 9 u |
|
After |
3x2 = 6 u |
2x3 = 6 u |
|
Fraction of money that Olivia had left
= 1 -
47 =
37 Fraction of money that Wendy had left
= 1 -
35 =
25 The amount that Wendy and Olivia had left is the same. Make the amount that Wendy and Olivia had left is the same. LCM of 3 and 2 is 6.
Amount that Olivia had at first = 7 u
Amount that Wendy had at first = 15 u
Amount that Wendy had more than Olivia at first
= 15 u - 7 u
= 1 u
= $18
Amount that Olivia had at first
= 7 u
= 7 x 18
= $126
Answer(s): $126