Emma went shopping with twice as much money as Cindy. After Emma spent $150, Cindy had thrice as much money as Emma had left. How much more money did Emma bring along for shopping than Cindy?
| |
Emma |
Cindy |
Difference |
| Before |
2x3 =
6 u |
1x3 =
3 u |
3 u |
| Change |
- $150 |
|
|
| After |
1 u |
3 u |
|
The amount that Cindy has remains unchanged at first and in the end. Make the amount that Cindy has the same. LCM of 1 and 3 is 3.
Amount that Emma spent
= 6 u - 1 u
= 5 u
5 u = 150
1 u = 150 ÷ 5 = 30
Amount that Emma brought along more than Cindy
= 6 u - 3 u
= 3 u
= 3 x 30
= $90
Answer(s): $90
