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