Sarah went shopping with thrice as much money as Natalie. After Sarah spent $150, Natalie had twice as much money as Sarah had left. How much more money did Sarah bring along for shopping than Natalie?
| |
Sarah |
Natalie |
Difference |
| Before |
3x2 =
6 u |
1x2 =
2 u |
4 u |
| Change |
- $150 |
|
|
| After |
1 u |
2 u |
|
The amount that Natalie has remains unchanged at first and in the end. Make the amount that Natalie has the same. LCM of 1 and 2 is 2.
Amount that Sarah spent
= 6 u - 1 u
= 5 u
5 u = 150
1 u = 150 ÷ 5 = 30
Amount that Sarah brought along more than Natalie
= 6 u - 2 u
= 4 u
= 4 x 30
= $120
Answer(s): $120
