Bryan and Jeremy had $612 altogether. Jeremy gave
25 of his money to Bryan. After that, Bryan gave
35 of his money to Jeremy. In the end, Bryan had
16 of the total sum of money. How much did Bryan have at first?
| |
Jeremy |
Bryan |
Total |
| Before 1 |
5 p |
? |
$612 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$612 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$612 |
Comparing between
Jeremy and Bryan
in the end |
5x2 =
10 u |
1x2 =
2 u |
$612 |
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.
12 u = 612
1 u = 612 ÷ 12 = 51
5 u = 5 x 51 = 255
3 p = 612 - 255 = 357
1 p = 357 ÷ 3 = 119
Amount that Jeremy had at first
= 5 p
= 5 x 119
= $595
Amount that Bryan had at first
= 612 - 595
= $17
Answer(s): $17
