If Ahmad gives Jen $2, he will have the same amount of money as her. If Jen gives Ahmad $2, Ahmad will have five times as much money as her. How much money does Ahmad have?
| |
Case 1 |
Case 2 |
| |
Ahmad |
Jen |
Ahmad |
Jen |
| Before |
3 u + 2 |
3 u - 2 |
1 u - 2 |
5 u + 2 |
| Change |
- 2 |
+ 2 |
+ 2 |
- 2 |
| 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, Ahmad had the same amount at first.
3 u + 2 = 1 u - 2
3 u - 1 u = 2 + 2
2 u = 4
1 u = 4 ÷ 2 = 2
Amount that Ahmad has
= 3 u + 2
= 3 x 2 + 2
= $8
Answer(s): $8
