Vanessa went shopping with twice as much money as Lucy. After Vanessa spent $100, Lucy had thrice as much money as Vanessa had left. How much more money did Vanessa bring along for shopping than Lucy?
| |
Vanessa |
Lucy |
Difference |
| Before |
2x3 =
6 u |
1x3 =
3 u |
3 u |
| Change |
- $100 |
|
|
| After |
1 u |
3 u |
|
The amount that Lucy has remains unchanged at first and in the end. Make the amount that Lucy has the same. LCM of 1 and 3 is 3.
Amount that Vanessa spent
= 6 u - 1 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Amount that Vanessa brought along more than Lucy
= 6 u - 3 u
= 3 u
= 3 x 20
= $60
Answer(s): $60
