Fabian and Mark had $1044 altogether. Mark gave
25 of his money to Fabian. After that, Fabian gave
35 of his money to Mark. In the end, Fabian had
16 of the total sum of money. How much did Fabian have at first?
| |
Mark |
Fabian |
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
Mark and Fabian
in the end |
5x2 =
10 u |
1x2 =
2 u |
$1044 |
The amount that Fabian had in the end is the repeated. Make the amount that Fabian 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 Mark had at first
= 5 p
= 5 x 203
= $1015
Amount that Fabian had at first
= 1044 - 1015
= $29
Answer(s): $29
