Vincent and Warren had $450 altogether. Warren gave
25 of his money to Vincent. After that, Vincent gave
35 of his money to Warren. In the end, Vincent had
15 of the total sum of money. How much did Vincent have at first?
| |
Warren |
Vincent |
Total |
| Before 1 |
5 p |
? |
$450 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$450 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$450 |
Comparing between
Warren and Vincent
in the end |
4x2 =
8 u |
1x2 =
2 u |
$450 |
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.
10 u = 450
1 u = 450 ÷ 10 = 45
5 u = 5 x 45 = 225
3 p = 450 - 225 = 225
1 p = 225 ÷ 3 = 75
Amount that Warren had at first
= 5 p
= 5 x 75
= $375
Amount that Vincent had at first
= 450 - 375
= $75
Answer(s): $75
