Ivan and Archie had $780 altogether. Archie gave
25 of his money to Ivan. After that, Ivan gave
35 of his money to Archie. In the end, Ivan had
15 of the total sum of money. How much did Ivan have at first?
| |
Archie |
Ivan |
Total |
| Before 1 |
5 p |
? |
$780 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$780 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$780 |
Comparing between
Archie and Ivan
in the end |
4x2 =
8 u |
1x2 =
2 u |
$780 |
The amount that Ivan had in the end is the repeated. Make the amount that Ivan had in the end the same. LCM of 2 and 1 is 2.
10 u = 780
1 u = 780 ÷ 10 = 78
5 u = 5 x 78 = 390
3 p = 780 - 390 = 390
1 p = 390 ÷ 3 = 130
Amount that Archie had at first
= 5 p
= 5 x 130
= $650
Amount that Ivan had at first
= 780 - 650
= $130
Answer(s): $130
