Yen went shopping with thrice as much money as Dana. After Yen spent $450, Dana had twice as much money as Yen had left. How much less money did Dana bring along for shopping than Yen?
| |
Yen |
Dana |
Difference |
| Before |
3x2 =
6 u |
1x2 =
2 u |
4 u |
| Change |
- $450 |
|
|
| After |
1 u |
2 u |
|
The amount that Dana has remains unchanged at first and in the end. Make the amount that Dana has the same. LCM of 1 and 2 is 2.
Amount that Yen spent
= 6 u - 1 u
= 5 u
5 u = 450
1 u = 450 ÷ 5 = 90
Amount that Dana brought along less than Yen
= 6 u - 2 u
= 4 u
= 4 x 90
= $360
Answer(s): $360
