Bobby and Bryan had $480 altogether. Bryan gave
25 of his money to Bobby. After that, Bobby gave
35 of his money to Bryan. In the end, Bobby had
15 of the total sum of money. How much did Bobby have at first?
| |
Bryan |
Bobby |
Total |
| Before 1 |
5 p |
? |
$480 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$480 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$480 |
Comparing between
Bryan and Bobby
in the end |
4x2 =
8 u |
1x2 =
2 u |
$480 |
The amount that Bobby had in the end is the repeated. Make the amount that Bobby had in the end the same. LCM of 2 and 1 is 2.
10 u = 480
1 u = 480 ÷ 10 = 48
5 u = 5 x 48 = 240
3 p = 480 - 240 = 240
1 p = 240 ÷ 3 = 80
Amount that Bryan had at first
= 5 p
= 5 x 80
= $400
Amount that Bobby had at first
= 480 - 400
= $80
Answer(s): $80
