Marion went shopping with thrice as much money as Olivia. After Marion spent $560, Olivia had thrice as much money as Marion had left. How much less money did Olivia bring along for shopping than Marion?
| |
Marion |
Olivia |
Difference |
| Before |
3x3 =
9 u |
1x3 =
3 u |
6 u |
| Change |
- $560 |
|
|
| After |
1 u |
3 u |
|
The amount that Olivia has remains unchanged at first and in the end. Make the amount that Olivia has the same. LCM of 1 and 3 is 3.
Amount that Marion spent
= 9 u - 1 u
= 8 u
8 u = 560
1 u = 560 ÷ 8 = 70
Amount that Olivia brought along less than Marion
= 9 u - 3 u
= 6 u
= 6 x 70
= $420
Answer(s): $420
