Oliver and Caden had $450 altogether. Caden gave
25 of his money to Oliver. After that, Oliver gave
35 of his money to Caden. In the end, Oliver had
15 of the total sum of money. How much did Oliver have at first?
|
Caden |
Oliver |
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 Caden and Oliver in the end |
4x2 = 8 u |
1x2 = 2 u |
$450 |
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 = 450
1 u = 450 ÷ 10 = 45
5 u = 5 x 45 = 225
3 p = 450 - 225 = 225
1 p = 225 ÷ 3 = 75
Amount that Caden had at first
= 5 p
= 5 x 75
= $375
Amount that Oliver had at first
= 450 - 375
= $75
Answer(s): $75