Oliver and Seth had $240 altogether. Seth gave
25 of his money to Oliver. After that, Oliver gave
35 of his money to Seth. In the end, Oliver had
15 of the total sum of money. How much did Oliver have at first?
| |
Seth |
Oliver |
Total |
| Before 1 |
5 p |
? |
$240 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$240 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$240 |
Comparing between
Seth and Oliver
in the end |
4x2 =
8 u |
1x2 =
2 u |
$240 |
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 = 240
1 u = 240 ÷ 10 = 24
5 u = 5 x 24 = 120
3 p = 240 - 120 = 120
1 p = 120 ÷ 3 = 40
Amount that Seth had at first
= 5 p
= 5 x 40
= $200
Amount that Oliver had at first
= 240 - 200
= $40
Answer(s): $40
