Wendy went shopping with twice as much money as Cathy. After Wendy spent $270, Cathy had twice as much money as Wendy had left. How much less money did Cathy bring along for shopping than Wendy?
| |
Wendy |
Cathy |
Difference |
| Before |
2x2 =
4 u |
1x2 =
2 u |
2 u |
| Change |
- $270 |
|
|
| After |
1 u |
2 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 2 is 2.
Amount that Wendy spent
= 4 u - 1 u
= 3 u
3 u = 270
1 u = 270 ÷ 3 = 90
Amount that Cathy brought along less than Wendy
= 4 u - 2 u
= 2 u
= 2 x 90
= $180
Answer(s): $180
