Kathy had $20 more than Cindy at first. Cindy spent
35 of her money and Kathy spent
23 of her money. Given that they had equal amount of money left, how many much did Cindy have at first?
| |
Kathy |
Cindy |
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 Cindy had left
= 1 -
35 =
25 Fraction of money that Kathy had left
= 1 -
23 =
13 The amount that Kathy and Cindy had left is the same. Make the amount that Kathy and Cindy had left is the same. LCM of 2 and 1 is 2.
Amount that Cindy had at first = 5 u
Amount that Kathy had at first = 6 u
Amount that Kathy had more than Cindy at first
= 6 u - 5 u
= 1 u
= $20
Amount that Cindy had at first
= 5 u
= 5 x 20
= $100
Answer(s): $100
