If Owen gives Tiffany $9, he will have the same amount of money as her. If Tiffany gives Owen $9, Owen will have four times as much money as her. How much money does Owen have?
| |
Case 1 |
Case 2 |
| |
Owen |
Tiffany |
Owen |
Tiffany |
| Before |
5 u + 9 |
5 u - 9 |
2 u - 9 |
8 u + 9 |
| Change |
- 9 |
+ 9 |
+ 9 |
- 9 |
| 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, Owen had the same amount at first.
5 u + 9 = 2 u - 9
5 u - 2 u = 9 + 9
3 u = 18
1 u = 18 ÷ 3 = 6
Amount that Owen has
= 5 u + 9
= 5 x 6 + 9
= $39
Answer(s): $39
