Ivan and Ben had $468 altogether. Ben gave
25 of his money to Ivan. After that, Ivan gave
35 of his money to Ben. In the end, Ivan had
16 of the total sum of money. How much did Ivan have at first?
| |
Ben |
Ivan |
Total |
| Before 1 |
5 p |
? |
$468 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$468 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$468 |
Comparing between
Ben and Ivan
in the end |
5x2 =
10 u |
1x2 =
2 u |
$468 |
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.
12 u = 468
1 u = 468 ÷ 12 = 39
5 u = 5 x 39 = 195
3 p = 468 - 195 = 273
1 p = 273 ÷ 3 = 91
Amount that Ben had at first
= 5 p
= 5 x 91
= $455
Amount that Ivan had at first
= 468 - 455
= $13
Answer(s): $13
