Zoe went shopping with thrice as much money as Cathy. After Zoe spent $440, Cathy had four times as much money as Zoe had left. How much more money did Zoe bring along for shopping than Cathy?
| |
Zoe |
Cathy |
Difference |
| Before |
3x4 =
12 u |
1x4 =
4 u |
8 u |
| Change |
- $440 |
|
|
| After |
1 u |
4 u |
|
The amount that Cathy has remains unchanged at first and in the end. Make the amount that Cathy has the same. LCM of 1 and 4 is 4.
Amount that Zoe spent
= 12 u - 1 u
= 11 u
11 u = 440
1 u = 440 ÷ 11 = 40
Amount that Zoe brought along more than Cathy
= 12 u - 4 u
= 8 u
= 8 x 40
= $320
Answer(s): $320
