Julian and Henry had $870 altogether. Henry gave
25 of his money to Julian. After that, Julian gave
35 of his money to Henry. In the end, Julian had
15 of the total sum of money. How much did Julian have at first?
| |
Henry |
Julian |
Total |
| Before 1 |
5 p |
? |
$870 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$870 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$870 |
Comparing between
Henry and Julian
in the end |
4x2 =
8 u |
1x2 =
2 u |
$870 |
The amount that Julian had in the end is the repeated. Make the amount that Julian had in the end the same. LCM of 2 and 1 is 2.
10 u = 870
1 u = 870 ÷ 10 = 87
5 u = 5 x 87 = 435
3 p = 870 - 435 = 435
1 p = 435 ÷ 3 = 145
Amount that Henry had at first
= 5 p
= 5 x 145
= $725
Amount that Julian had at first
= 870 - 725
= $145
Answer(s): $145
