If Perry gives Esther $6, he will have the same amount of money as her. If Esther gives Perry $6, Perry will have five times as much money as her. How much money does Perry have?
| |
Case 1 |
Case 2 |
| |
Perry |
Esther |
Perry |
Esther |
| Before |
3 u + 6 |
3 u - 6 |
1 u - 6 |
5 u + 6 |
| Change |
- 6 |
+ 6 |
+ 6 |
- 6 |
| 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, Perry had the same amount at first.
3 u + 6 = 1 u - 6
3 u - 1 u = 6 + 6
2 u = 12
1 u = 12 ÷ 2 = 6
Amount that Perry has
= 3 u + 6
= 3 x 6 + 6
= $24
Answer(s): $24
