Flynn and Sean had $600 altogether. Sean gave
25 of his money to Flynn. After that, Flynn gave
35 of his money to Sean. In the end, Flynn had
15 of the total sum of money. How much did Flynn have at first?
|
Sean |
Flynn |
Total |
Before 1 |
5 p |
? |
$600 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$600 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$600 |
Comparing between Sean and Flynn in the end |
4x2 = 8 u |
1x2 = 2 u |
$600 |
The amount that Flynn had in the end is the repeated. Make the amount that Flynn had in the end the same. LCM of 2 and 1 is 2.
10 u = 600
1 u = 600 ÷ 10 = 60
5 u = 5 x 60 = 300
3 p = 600 - 300 = 300
1 p = 300 ÷ 3 = 100
Amount that Sean had at first
= 5 p
= 5 x 100
= $500
Amount that Flynn had at first
= 600 - 500
= $100
Answer(s): $100