Flynn and Ian had $252 altogether. Ian gave
25 of his money to Flynn. After that, Flynn gave
35 of his money to Ian. In the end, Flynn had
16 of the total sum of money. How much did Flynn have at first?
| |
Ian |
Flynn |
Total |
| Before 1 |
5 p |
? |
$252 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$252 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$252 |
Comparing between
Ian and Flynn
in the end |
5x2 =
10 u |
1x2 =
2 u |
$252 |
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.
12 u = 252
1 u = 252 ÷ 12 = 21
5 u = 5 x 21 = 105
3 p = 252 - 105 = 147
1 p = 147 ÷ 3 = 49
Amount that Ian had at first
= 5 p
= 5 x 49
= $245
Amount that Flynn had at first
= 252 - 245
= $7
Answer(s): $7
