Mary went shopping with thrice as much money as Xuan. After Mary spent $250, Xuan had twice as much money as Mary had left. How much less money did Xuan bring along for shopping than Mary?
| |
Mary |
Xuan |
Difference |
| Before |
3x2 =
6 u |
1x2 =
2 u |
4 u |
| Change |
- $250 |
|
|
| After |
1 u |
2 u |
|
The amount that Xuan has remains unchanged at first and in the end. Make the amount that Xuan has the same. LCM of 1 and 2 is 2.
Amount that Mary spent
= 6 u - 1 u
= 5 u
5 u = 250
1 u = 250 ÷ 5 = 50
Amount that Xuan brought along less than Mary
= 6 u - 2 u
= 4 u
= 4 x 50
= $200
Answer(s): $200
