Owen and Tom had $720 altogether. Tom gave
25 of his money to Owen. After that, Owen gave
35 of his money to Tom. In the end, Owen had
15 of the total sum of money. How much did Owen have at first?
| |
Tom |
Owen |
Total |
| Before 1 |
5 p |
? |
$720 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$720 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$720 |
Comparing between
Tom and Owen
in the end |
4x2 =
8 u |
1x2 =
2 u |
$720 |
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 = 720
1 u = 720 ÷ 10 = 72
5 u = 5 x 72 = 360
3 p = 720 - 360 = 360
1 p = 360 ÷ 3 = 120
Amount that Tom had at first
= 5 p
= 5 x 120
= $600
Amount that Owen had at first
= 720 - 600
= $120
Answer(s): $120
