Betty went shopping with twice as much money as Yen. After Betty spent $300, Yen had twice as much money as Betty had left. How much less money did Yen bring along for shopping than Betty?
| |
Betty |
Yen |
Difference |
| Before |
2x2 =
4 u |
1x2 =
2 u |
2 u |
| Change |
- $300 |
|
|
| After |
1 u |
2 u |
|
The amount that Yen has remains unchanged at first and in the end. Make the amount that Yen has the same. LCM of 1 and 2 is 2.
Amount that Betty spent
= 4 u - 1 u
= 3 u
3 u = 300
1 u = 300 ÷ 3 = 100
Amount that Yen brought along less than Betty
= 4 u - 2 u
= 2 u
= 2 x 100
= $200
Answer(s): $200
