Glen and Daniel had $660 altogether. Daniel gave
25 of his money to Glen. After that, Glen gave
35 of his money to Daniel. In the end, Glen had
15 of the total sum of money. How much did Glen have at first?
| |
Daniel |
Glen |
Total |
| Before 1 |
5 p |
? |
$660 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$660 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$660 |
Comparing between
Daniel and Glen
in the end |
4x2 =
8 u |
1x2 =
2 u |
$660 |
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.
10 u = 660
1 u = 660 ÷ 10 = 66
5 u = 5 x 66 = 330
3 p = 660 - 330 = 330
1 p = 330 ÷ 3 = 110
Amount that Daniel had at first
= 5 p
= 5 x 110
= $550
Amount that Glen had at first
= 660 - 550
= $110
Answer(s): $110
