Glen and Cole had $648 altogether. Cole gave
25 of his money to Glen. After that, Glen gave
35 of his money to Cole. In the end, Glen had
16 of the total sum of money. How much did Glen have at first?
|
Cole |
Glen |
Total |
Before 1 |
5 p |
? |
$648 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$648 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$648 |
Comparing between Cole and Glen in the end |
5x2 = 10 u |
1x2 = 2 u |
$648 |
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 = 648
1 u = 648 ÷ 12 = 54
5 u = 5 x 54 = 270
3 p = 648 - 270 = 378
1 p = 378 ÷ 3 = 126
Amount that Cole had at first
= 5 p
= 5 x 126
= $630
Amount that Glen had at first
= 648 - 630
= $18
Answer(s): $18