Bryan and Zane had a total of $120. Bryan gave $16 to Zane. In return, Zane gave
14 of his money to Bryan. In the end, Bryan had thrice as much money as Zane. How much money did Bryan have at first?
| |
Bryan |
Zane |
Total |
| Before |
|
|
$120 |
| Change 1 |
- $16 |
+ $16 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Bryan
and Zane
in the end |
3 u |
1 u |
$120 |
The total amount that Zane and Bryan had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 120
1 u = 120 ÷ 4 = 30
Amount that Bryan has in the end
= 3 u
= 3 x 30
= $90
Amount that Zane has in the end
= 1 u
= $30
3 p = 1 u = 30
1 p = 30 ÷ 3 = 10
Amount that Zane gave to Bryan
= 1 p
= 1 x 10
= $10
Amount that Bryan had at first
= 90 - 10 + 16
= $96
Answer(s): $96
