Vaidev and Mark had $396 altogether. Mark gave
25 of his money to Vaidev. After that, Vaidev gave
35 of his money to Mark. In the end, Vaidev had
16 of the total sum of money. How much did Vaidev have at first?
| |
Mark |
Vaidev |
Total |
| Before 1 |
5 p |
? |
$396 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$396 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$396 |
Comparing between
Mark and Vaidev
in the end |
5x2 =
10 u |
1x2 =
2 u |
$396 |
The amount that Vaidev had in the end is the repeated. Make the amount that Vaidev had in the end the same. LCM of 2 and 1 is 2.
12 u = 396
1 u = 396 ÷ 12 = 33
5 u = 5 x 33 = 165
3 p = 396 - 165 = 231
1 p = 231 ÷ 3 = 77
Amount that Mark had at first
= 5 p
= 5 x 77
= $385
Amount that Vaidev had at first
= 396 - 385
= $11
Answer(s): $11
