Billy and Bryan had $432 altogether. Bryan gave
25 of his money to Billy. After that, Billy gave
35 of his money to Bryan. In the end, Billy had
16 of the total sum of money. How much did Billy have at first?
| |
Bryan |
Billy |
Total |
| Before 1 |
5 p |
? |
$432 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$432 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$432 |
Comparing between
Bryan and Billy
in the end |
5x2 =
10 u |
1x2 =
2 u |
$432 |
The amount that Billy had in the end is the repeated. Make the amount that Billy had in the end the same. LCM of 2 and 1 is 2.
12 u = 432
1 u = 432 ÷ 12 = 36
5 u = 5 x 36 = 180
3 p = 432 - 180 = 252
1 p = 252 ÷ 3 = 84
Amount that Bryan had at first
= 5 p
= 5 x 84
= $420
Amount that Billy had at first
= 432 - 420
= $12
Answer(s): $12
