Esther went shopping with thrice as much money as Vanessa. After Esther spent $300, Vanessa had twice as much money as Esther had left. How much more money did Esther bring along for shopping than Vanessa?
| |
Esther |
Vanessa |
Difference |
| Before |
3x2 =
6 u |
1x2 =
2 u |
4 u |
| Change |
- $300 |
|
|
| After |
1 u |
2 u |
|
The amount that Vanessa has remains unchanged at first and in the end. Make the amount that Vanessa has the same. LCM of 1 and 2 is 2.
Amount that Esther spent
= 6 u - 1 u
= 5 u
5 u = 300
1 u = 300 ÷ 5 = 60
Amount that Esther brought along more than Vanessa
= 6 u - 2 u
= 4 u
= 4 x 60
= $240
Answer(s): $240
