Bryan and Jenson had a total of $342. Bryan gave $13 to Jenson. In return, Jenson gave
14 of his money to Bryan. In the end, Bryan had five times as much money as Jenson. How much money did Bryan have at first?
| |
Bryan |
Jenson |
Total |
| Before |
|
|
$342 |
| Change 1 |
- $13 |
+ $13 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Bryan
and Jenson
in the end |
5 u |
1 u |
$342 |
The total amount that Jenson and Bryan had remains unchanged.
Total amount in the end
= 5 u + 1 u
= 6 u
6 u = 342
1 u = 342 ÷ 6 = 57
Amount that Bryan has in the end
= 5 u
= 5 x 57
= $285
Amount that Jenson has in the end
= 1 u
= $57
3 p = 1 u = 57
1 p = 57 ÷ 3 = 19
Amount that Jenson gave to Bryan
= 1 p
= 1 x 19
= $19
Amount that Bryan had at first
= 285 - 19 + 13
= $279
Answer(s): $279
