Harry and Ken had a total of $312. Harry gave $12 to Ken. In return, Ken gave
15 of his money to Harry. In the end, Harry had twice as much money as Ken. How much money did Harry have at first?
| |
Harry |
Ken |
Total |
| Before |
|
|
$312 |
| Change 1 |
- $12 |
+ $12 |
|
| After 1 |
|
5 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
4 p |
|
Comparing Harry
and Ken
in the end |
2 u |
1 u |
$312 |
The total amount that Ken and Harry had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 312
1 u = 312 ÷ 3 = 104
Amount that Harry has in the end
= 2 u
= 2 x 104
= $208
Amount that Ken has in the end
= 1 u
= $104
4 p = 1 u = 104
1 p = 104 ÷ 4 = 26
Amount that Ken gave to Harry
= 1 p
= 1 x 26
= $26
Amount that Harry had at first
= 208 - 26 + 12
= $194
Answer(s): $194
