If Fred gives Linda $9, he will have the same amount of money as her. If Linda gives Fred $9, Fred will have four times as much money as her. How much money does Linda have?
|
Scenario 1 |
Scenario 2 |
|
Fred |
Linda |
Total |
Fred |
Linda |
Total |
Before |
5 u + 9 |
5 u - 9 |
|
2 u - 9 |
8 u + 9 |
|
Change |
- 9 |
+ 9 |
|
+ 9 |
- 9 |
|
After |
1x5 = 5 u |
1x5 = 5 u |
2x5 = 10 u |
1x2 = 2 u |
4x2 = 8 u |
5x2 = 10 u |
The total amount in both scenarios is the same. LCM of 2 and 5 is 10.
In both scenarios, Fred had the same amount at first.
5 u + 9 = 2 u - 9
5 u - 2 u = 9 + 9
3 u = 18
1 u = 18 ÷ 3 = 6
Amount that Linda has
= 5 u - 9
= 5 x 6 - 9
= $21
Answer(s): $21