Ian and Tommy had $450 altogether. Tommy gave
25 of his money to Ian. After that, Ian gave
35 of his money to Tommy. In the end, Ian had
15 of the total sum of money. How much did Ian have at first?
| |
Tommy |
Ian |
Total |
| Before 1 |
5 p |
? |
$450 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$450 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$450 |
Comparing between
Tommy and Ian
in the end |
4x2 =
8 u |
1x2 =
2 u |
$450 |
The amount that Ian had in the end is the repeated. Make the amount that Ian had in the end the same. LCM of 2 and 1 is 2.
10 u = 450
1 u = 450 ÷ 10 = 45
5 u = 5 x 45 = 225
3 p = 450 - 225 = 225
1 p = 225 ÷ 3 = 75
Amount that Tommy had at first
= 5 p
= 5 x 75
= $375
Amount that Ian had at first
= 450 - 375
= $75
Answer(s): $75
