Glen and Andy had $540 altogether. Andy gave
25 of his money to Glen. After that, Glen gave
35 of his money to Andy. In the end, Glen had
16 of the total sum of money. How much did Glen have at first?
|
Andy |
Glen |
Total |
Before 1 |
5 p |
? |
$540 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$540 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$540 |
Comparing between Andy and Glen in the end |
5x2 = 10 u |
1x2 = 2 u |
$540 |
The amount that Glen had in the end is the repeated. Make the amount that Glen had in the end the same. LCM of 2 and 1 is 2.
12 u = 540
1 u = 540 ÷ 12 = 45
5 u = 5 x 45 = 225
3 p = 540 - 225 = 315
1 p = 315 ÷ 3 = 105
Amount that Andy had at first
= 5 p
= 5 x 105
= $525
Amount that Glen had at first
= 540 - 525
= $15
Answer(s): $15