Nicole went shopping with twice as much money as Esther. After Nicole spent $200, Esther had thrice as much money as Nicole had left. How much less money did Esther bring along for shopping than Nicole?
| |
Nicole |
Esther |
Difference |
| Before |
2x3 =
6 u |
1x3 =
3 u |
3 u |
| Change |
- $200 |
|
|
| After |
1 u |
3 u |
|
The amount that Esther has remains unchanged at first and in the end. Make the amount that Esther has the same. LCM of 1 and 3 is 3.
Amount that Nicole spent
= 6 u - 1 u
= 5 u
5 u = 200
1 u = 200 ÷ 5 = 40
Amount that Esther brought along less than Nicole
= 6 u - 3 u
= 3 u
= 3 x 40
= $120
Answer(s): $120
