Vincent and Fred had $144 altogether. Fred gave
25 of his money to Vincent. After that, Vincent gave
35 of his money to Fred. In the end, Vincent had
16 of the total sum of money. How much did Vincent have at first?
| |
Fred |
Vincent |
Total |
| Before 1 |
5 p |
? |
$144 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$144 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$144 |
Comparing between
Fred and Vincent
in the end |
5x2 =
10 u |
1x2 =
2 u |
$144 |
The amount that Vincent had in the end is the repeated. Make the amount that Vincent had in the end the same. LCM of 2 and 1 is 2.
12 u = 144
1 u = 144 ÷ 12 = 12
5 u = 5 x 12 = 60
3 p = 144 - 60 = 84
1 p = 84 ÷ 3 = 28
Amount that Fred had at first
= 5 p
= 5 x 28
= $140
Amount that Vincent had at first
= 144 - 140
= $4
Answer(s): $4
