If Harry gives Linda $6, he will have the same amount of money as her. If Linda gives Harry $6, Harry will have four times as much money as her. How much money does Linda have?
|
Scenario 1 |
Scenario 2 |
|
Harry |
Linda |
Total |
Harry |
Linda |
Total |
Before |
5 u + 6 |
5 u - 6 |
|
2 u - 6 |
8 u + 6 |
|
Change |
- 6 |
+ 6 |
|
+ 6 |
- 6 |
|
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, Harry had the same amount at first.
5 u + 6 = 2 u - 6
5 u - 2 u = 6 + 6
3 u = 12
1 u = 12 ÷ 3 = 4
Amount that Linda has
= 5 u - 6
= 5 x 4 - 6
= $14
Answer(s): $14