Andy and Oscar had $450 altogether. Oscar gave
25 of his money to Andy. After that, Andy gave
35 of his money to Oscar. In the end, Andy had
15 of the total sum of money. How much did Andy have at first?
| |
Oscar |
Andy |
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
Oscar and Andy
in the end |
4x2 =
8 u |
1x2 =
2 u |
$450 |
The amount that Andy had in the end is the repeated. Make the amount that Andy 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 Oscar had at first
= 5 p
= 5 x 75
= $375
Amount that Andy had at first
= 450 - 375
= $75
Answer(s): $75
