Harry and Bryan had $750 altogether. Bryan gave
25 of his money to Harry. After that, Harry gave
35 of his money to Bryan. In the end, Harry had
15 of the total sum of money. How much did Harry have at first?
| |
Bryan |
Harry |
Total |
| Before 1 |
5 p |
? |
$750 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$750 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$750 |
Comparing between
Bryan and Harry
in the end |
4x2 =
8 u |
1x2 =
2 u |
$750 |
The amount that Harry had in the end is the repeated. Make the amount that Harry had in the end the same. LCM of 2 and 1 is 2.
10 u = 750
1 u = 750 ÷ 10 = 75
5 u = 5 x 75 = 375
3 p = 750 - 375 = 375
1 p = 375 ÷ 3 = 125
Amount that Bryan had at first
= 5 p
= 5 x 125
= $625
Amount that Harry had at first
= 750 - 625
= $125
Answer(s): $125
