Zoe went shopping with thrice as much money as Penelope. After Zoe spent $500, Penelope had twice as much money as Zoe had left. How much less money did Penelope bring along for shopping than Zoe?
| |
Zoe |
Penelope |
Difference |
| Before |
3x2 =
6 u |
1x2 =
2 u |
4 u |
| Change |
- $500 |
|
|
| After |
1 u |
2 u |
|
The amount that Penelope has remains unchanged at first and in the end. Make the amount that Penelope has the same. LCM of 1 and 2 is 2.
Amount that Zoe spent
= 6 u - 1 u
= 5 u
5 u = 500
1 u = 500 ÷ 5 = 100
Amount that Penelope brought along less than Zoe
= 6 u - 2 u
= 4 u
= 4 x 100
= $400
Answer(s): $400
