Elijah and Paul had $936 altogether. Paul gave
25 of his money to Elijah. After that, Elijah gave
35 of his money to Paul. In the end, Elijah had
16 of the total sum of money. How much did Elijah have at first?
| |
Paul |
Elijah |
Total |
| Before 1 |
5 p |
? |
$936 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$936 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$936 |
Comparing between
Paul and Elijah
in the end |
5x2 =
10 u |
1x2 =
2 u |
$936 |
The amount that Elijah had in the end is the repeated. Make the amount that Elijah had in the end the same. LCM of 2 and 1 is 2.
12 u = 936
1 u = 936 ÷ 12 = 78
5 u = 5 x 78 = 390
3 p = 936 - 390 = 546
1 p = 546 ÷ 3 = 182
Amount that Paul had at first
= 5 p
= 5 x 182
= $910
Amount that Elijah had at first
= 936 - 910
= $26
Answer(s): $26
