If Charlie gives Kathy $6, he will have the same amount of money as her. If Kathy gives Charlie $6, Charlie will have four times as much money as her. How much money does Charlie have?
| |
Case 1 |
Case 2 |
| |
Charlie |
Kathy |
Charlie |
Kathy |
| 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 |
1x2 =
2 u |
4x2 =
8 u |
The total amount in both scenarios is the same. Make the total amount the same in bothe cases. LCM of 2 and 5 is 10.
In both case, Charlie 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 Charlie has
= 5 u + 6
= 5 x 4 + 6
= $26
Answer(s): $26
