Penelope went shopping with twice as much money as Rachel. After Penelope spent $210, Rachel had four times as much money as Penelope had left. How much more money did Penelope bring along for shopping than Rachel?
| |
Penelope |
Rachel |
Difference |
| Before |
2x4 =
8 u |
1x4 =
4 u |
4 u |
| Change |
- $210 |
|
|
| After |
1 u |
4 u |
|
The amount that Rachel has remains unchanged at first and in the end. Make the amount that Rachel has the same. LCM of 1 and 4 is 4.
Amount that Penelope spent
= 8 u - 1 u
= 7 u
7 u = 210
1 u = 210 ÷ 7 = 30
Amount that Penelope brought along more than Rachel
= 8 u - 4 u
= 4 u
= 4 x 30
= $120
Answer(s): $120
