Cathy and Zoe had the same amount of money at first. After Cathy gave $180 to her niece, Zoe had 3 times as much money as Cathy. How much did Cathy have in the end?
| |
Cathy |
Zoe |
| Before |
1x3 =
3 u |
1x3 =
3 u |
| Change |
- $180 |
|
| After |
1 u |
3 u |
The amount that Zoe had at first and in the end remains unchanged. Make the amount that Zoe had the same. LCM of 1 and 3 is 3.
Amount that Cathy gave to her niece
= 3 u - 1 u
= 2 u
2 u = 180
1 u = 180 ÷ 2 = 90
Amount that Cathy had in the end
= 1 u
= $180
Answer(s): $180
