Billy and Rael had a total of $264. Billy gave $47 to Rael. In return, Rael gave
13 of his money to Billy. In the end, Billy had thrice as much money as Rael. How much money did Billy have at first?
| |
Billy |
Rael |
Total |
| Before |
|
|
$264 |
| Change 1 |
- $47 |
+ $47 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Billy
and Rael
in the end |
3 u |
1 u |
$264 |
The total amount that Rael and Billy had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 264
1 u = 264 ÷ 4 = 66
Amount that Billy has in the end
= 3 u
= 3 x 66
= $198
Amount that Rael has in the end
= 1 u
= $66
2 p = 1 u = 66
1 p = 66 ÷ 2 = 33
Amount that Rael gave to Billy
= 1 p
= 1 x 33
= $33
Amount that Billy had at first
= 198 - 33 + 47
= $212
Answer(s): $212
