Gabriel and Albert had $300 altogether. Albert gave
25 of his money to Gabriel. After that, Gabriel gave
35 of his money to Albert. In the end, Gabriel had
15 of the total sum of money. How much did Gabriel have at first?
| |
Albert |
Gabriel |
Total |
| Before 1 |
5 p |
? |
$300 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$300 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$300 |
Comparing between
Albert and Gabriel
in the end |
4x2 =
8 u |
1x2 =
2 u |
$300 |
The amount that Gabriel had in the end is the repeated. Make the amount that Gabriel had in the end the same. LCM of 2 and 1 is 2.
10 u = 300
1 u = 300 ÷ 10 = 30
5 u = 5 x 30 = 150
3 p = 300 - 150 = 150
1 p = 150 ÷ 3 = 50
Amount that Albert had at first
= 5 p
= 5 x 50
= $250
Amount that Gabriel had at first
= 300 - 250
= $50
Answer(s): $50
