If Jack gives Abi $8, he will have the same amount of money as her. If Abi gives Jack $8, Jack will have five times as much money as her. How much money does Jack have?
| |
Case 1 |
Case 2 |
| |
Jack |
Abi |
Jack |
Abi |
| Before |
3 u + 8 |
3 u - 8 |
1 u - 8 |
5 u + 8 |
| Change |
- 8 |
+ 8 |
+ 8 |
- 8 |
| 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, Jack had the same amount at first.
3 u + 8 = 1 u - 8
3 u - 1 u = 8 + 8
2 u = 16
1 u = 16 ÷ 2 = 8
Amount that Jack has
= 3 u + 8
= 3 x 8 + 8
= $32
Answer(s): $32
