Oscar and Albert had $216 altogether. Albert gave
25 of his money to Oscar. After that, Oscar gave
35 of his money to Albert. In the end, Oscar had
16 of the total sum of money. How much did Oscar have at first?
|
Albert |
Oscar |
Total |
Before 1 |
5 p |
? |
$216 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$216 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$216 |
Comparing between Albert and Oscar in the end |
5x2 = 10 u |
1x2 = 2 u |
$216 |
The amount that Oscar had in the end is the repeated. Make the amount that Oscar had in the end the same. LCM of 2 and 1 is 2.
12 u = 216
1 u = 216 ÷ 12 = 18
5 u = 5 x 18 = 90
3 p = 216 - 90 = 126
1 p = 126 ÷ 3 = 42
Amount that Albert had at first
= 5 p
= 5 x 42
= $210
Amount that Oscar had at first
= 216 - 210
= $6
Answer(s): $6