If Brandon gives Betty $7, he will have the same amount of money as her. If Betty gives Brandon $7, Brandon will have five times as much money as her. How much money does Brandon have?
| |
Case 1 |
Case 2 |
| |
Brandon |
Betty |
Brandon |
Betty |
| Before |
3 u + 7 |
3 u - 7 |
1 u - 7 |
5 u + 7 |
| Change |
- 7 |
+ 7 |
+ 7 |
- 7 |
| 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, Brandon had the same amount at first.
3 u + 7 = 1 u - 7
3 u - 1 u = 7 + 7
2 u = 14
1 u = 14 ÷ 2 = 7
Amount that Brandon has
= 3 u + 7
= 3 x 7 + 7
= $28
Answer(s): $28
