If Albert gives Gem $4, he will have the same amount of money as her. If Gem gives Albert $4, Albert will have five times as much money as her. How much money does Albert have?
| |
Case 1 |
Case 2 |
| |
Albert |
Gem |
Albert |
Gem |
| Before |
3 u + 4 |
3 u - 4 |
1 u - 4 |
5 u + 4 |
| Change |
- 4 |
+ 4 |
+ 4 |
- 4 |
| After |
1x3 =
3 u |
1x3 =
3 u |
1x1 =
1 u |
5x1 =
5 u |
The total amount in both scenarios is the same. Make the total amount the same in bothe cases. LCM of 2 and 6 is 6.
In both case, Albert had the same amount at first.
3 u + 4 = 1 u - 4
3 u - 1 u = 4 + 4
2 u = 8
1 u = 8 ÷ 2 = 4
Amount that Albert has
= 3 u + 4
= 3 x 4 + 4
= $16
Answer(s): $16
