Henry and Paul had $840 altogether. Paul gave
25 of his money to Henry. After that, Henry gave
35 of his money to Paul. In the end, Henry had
15 of the total sum of money. How much did Henry have at first?
| |
Paul |
Henry |
Total |
| Before 1 |
5 p |
? |
$840 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$840 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$840 |
Comparing between
Paul and Henry
in the end |
4x2 =
8 u |
1x2 =
2 u |
$840 |
The amount that Henry had in the end is the repeated. Make the amount that Henry had in the end the same. LCM of 2 and 1 is 2.
10 u = 840
1 u = 840 ÷ 10 = 84
5 u = 5 x 84 = 420
3 p = 840 - 420 = 420
1 p = 420 ÷ 3 = 140
Amount that Paul had at first
= 5 p
= 5 x 140
= $700
Amount that Henry had at first
= 840 - 700
= $140
Answer(s): $140
