Xuan had $18 more than Kathy at first. Kathy spent
25 of her money and Xuan spent
12 of her money. Given that they had equal amount of money left, how many much did Kathy have at first?
| |
Xuan |
Kathy |
More |
Before |
5x1 =
5 u |
2x3 =
6 u |
1 u |
Change |
- 2x1 =
- 2 u |
- 1x3 =
- 3 u |
|
After |
3x1 =
3 u |
1x3 =
3 u |
|
Fraction of money that Kathy had left
= 1 -
25 =
35 Fraction of money that Xuan had left
= 1 -
12 =
12 The amount that Xuan and Kathy had left is the same. Make the amount that Xuan and Kathy had left is the same. LCM of 3 and 1 is 3.
Amount that Kathy had at first = 5 u
Amount that Xuan had at first = 6 u
Amount that Xuan had more than Kathy at first
= 6 u - 5 u
= 1 u
= $18
Amount that Kathy had at first
= 5 u
= 5 x 18
= $90
Answer(s): $90
