Pierre and Oscar had a total of $240. Pierre gave $16 to Oscar. In return, Oscar gave
14 of his money to Pierre. In the end, Pierre had four times as much money as Oscar. How much money did Pierre have at first?
| |
Pierre |
Oscar |
Total |
| Before |
|
|
$240 |
| Change 1 |
- $16 |
+ $16 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Pierre
and Oscar
in the end |
4 u |
1 u |
$240 |
The total amount that Oscar and Pierre had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 240
1 u = 240 ÷ 5 = 48
Amount that Pierre has in the end
= 4 u
= 4 x 48
= $192
Amount that Oscar has in the end
= 1 u
= $48
3 p = 1 u = 48
1 p = 48 ÷ 3 = 16
Amount that Oscar gave to Pierre
= 1 p
= 1 x 16
= $16
Amount that Pierre had at first
= 192 - 16 + 16
= $192
Answer(s): $192
