Bryan and Andy had $180 altogether. Andy gave
25 of his money to Bryan. After that, Bryan gave
35 of his money to Andy. In the end, Bryan had
15 of the total sum of money. How much did Bryan have at first?
| |
Andy |
Bryan |
Total |
| Before 1 |
5 p |
? |
$180 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$180 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$180 |
Comparing between
Andy and Bryan
in the end |
4x2 =
8 u |
1x2 =
2 u |
$180 |
The amount that Bryan had in the end is the repeated. Make the amount that Bryan had in the end the same. LCM of 2 and 1 is 2.
10 u = 180
1 u = 180 ÷ 10 = 18
5 u = 5 x 18 = 90
3 p = 180 - 90 = 90
1 p = 90 ÷ 3 = 30
Amount that Andy had at first
= 5 p
= 5 x 30
= $150
Amount that Bryan had at first
= 180 - 150
= $30
Answer(s): $30
