Tommy and Flynn had $828 altogether. Flynn gave
25 of his money to Tommy. After that, Tommy gave
35 of his money to Flynn. In the end, Tommy had
16 of the total sum of money. How much did Tommy have at first?
| |
Flynn |
Tommy |
Total |
| Before 1 |
5 p |
? |
$828 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$828 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$828 |
Comparing between
Flynn and Tommy
in the end |
5x2 =
10 u |
1x2 =
2 u |
$828 |
The amount that Tommy had in the end is the repeated. Make the amount that Tommy had in the end the same. LCM of 2 and 1 is 2.
12 u = 828
1 u = 828 ÷ 12 = 69
5 u = 5 x 69 = 345
3 p = 828 - 345 = 483
1 p = 483 ÷ 3 = 161
Amount that Flynn had at first
= 5 p
= 5 x 161
= $805
Amount that Tommy had at first
= 828 - 805
= $23
Answer(s): $23
