Oliver and Tom had $150 altogether. Tom gave
25 of his money to Oliver. After that, Oliver gave
35 of his money to Tom. In the end, Oliver had
15 of the total sum of money. How much did Oliver have at first?
|
Tom |
Oliver |
Total |
Before 1 |
5 p |
? |
$150 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$150 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$150 |
Comparing between Tom and Oliver in the end |
4x2 = 8 u |
1x2 = 2 u |
$150 |
The amount that Oliver had in the end is the repeated. Make the amount that Oliver had in the end the same. LCM of 2 and 1 is 2.
10 u = 150
1 u = 150 ÷ 10 = 15
5 u = 5 x 15 = 75
3 p = 150 - 75 = 75
1 p = 75 ÷ 3 = 25
Amount that Tom had at first
= 5 p
= 5 x 25
= $125
Amount that Oliver had at first
= 150 - 125
= $25
Answer(s): $25