Daniel and Oscar had $1044 altogether. Oscar gave
25 of his money to Daniel. After that, Daniel gave
35 of his money to Oscar. In the end, Daniel had
16 of the total sum of money. How much did Daniel have at first?
| |
Oscar |
Daniel |
Total |
| Before 1 |
5 p |
? |
$1044 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$1044 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$1044 |
Comparing between
Oscar and Daniel
in the end |
5x2 =
10 u |
1x2 =
2 u |
$1044 |
The amount that Daniel had in the end is the repeated. Make the amount that Daniel had in the end the same. LCM of 2 and 1 is 2.
12 u = 1044
1 u = 1044 ÷ 12 = 87
5 u = 5 x 87 = 435
3 p = 1044 - 435 = 609
1 p = 609 ÷ 3 = 203
Amount that Oscar had at first
= 5 p
= 5 x 203
= $1015
Amount that Daniel had at first
= 1044 - 1015
= $29
Answer(s): $29
