Mark and Ahmad had $450 altogether. Ahmad gave
25 of his money to Mark. After that, Mark gave
35 of his money to Ahmad. In the end, Mark had
15 of the total sum of money. How much did Mark have at first?
| |
Ahmad |
Mark |
Total |
| Before 1 |
5 p |
? |
$450 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$450 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$450 |
Comparing between
Ahmad and Mark
in the end |
4x2 =
8 u |
1x2 =
2 u |
$450 |
The amount that Mark had in the end is the repeated. Make the amount that Mark had in the end the same. LCM of 2 and 1 is 2.
10 u = 450
1 u = 450 ÷ 10 = 45
5 u = 5 x 45 = 225
3 p = 450 - 225 = 225
1 p = 225 ÷ 3 = 75
Amount that Ahmad had at first
= 5 p
= 5 x 75
= $375
Amount that Mark had at first
= 450 - 375
= $75
Answer(s): $75
