Owen and Ken had $180 altogether. Ken gave
25 of his money to Owen. After that, Owen gave
35 of his money to Ken. In the end, Owen had
15 of the total sum of money. How much did Owen have at first?
| |
Ken |
Owen |
Total |
| Before 1 |
5 p |
? |
$180 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$180 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$180 |
Comparing between
Ken and Owen
in the end |
4x2 =
8 u |
1x2 =
2 u |
$180 |
The amount that Owen had in the end is the repeated. Make the amount that Owen had in the end the same. LCM of 2 and 1 is 2.
10 u = 180
1 u = 180 ÷ 10 = 18
5 u = 5 x 18 = 90
3 p = 180 - 90 = 90
1 p = 90 ÷ 3 = 30
Amount that Ken had at first
= 5 p
= 5 x 30
= $150
Amount that Owen had at first
= 180 - 150
= $30
Answer(s): $30
