Ivan and Vincent had $900 altogether. Vincent gave
25 of his money to Ivan. After that, Ivan gave
35 of his money to Vincent. In the end, Ivan had
16 of the total sum of money. How much did Ivan have at first?
| |
Vincent |
Ivan |
Total |
| Before 1 |
5 p |
? |
$900 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$900 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$900 |
Comparing between
Vincent and Ivan
in the end |
5x2 =
10 u |
1x2 =
2 u |
$900 |
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 = 900
1 u = 900 ÷ 12 = 75
5 u = 5 x 75 = 375
3 p = 900 - 375 = 525
1 p = 525 ÷ 3 = 175
Amount that Vincent had at first
= 5 p
= 5 x 175
= $875
Amount that Ivan had at first
= 900 - 875
= $25
Answer(s): $25
