Sean and Tommy had $180 altogether. Tommy gave
25 of his money to Sean. After that, Sean gave
35 of his money to Tommy. In the end, Sean had
15 of the total sum of money. How much did Sean have at first?
| |
Tommy |
Sean |
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
Tommy and Sean
in the end |
4x2 =
8 u |
1x2 =
2 u |
$180 |
The amount that Sean had in the end is the repeated. Make the amount that Sean 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 Tommy had at first
= 5 p
= 5 x 30
= $150
Amount that Sean had at first
= 180 - 150
= $30
Answer(s): $30
