Jack and Vincent had $720 altogether. Vincent gave
25 of his money to Jack. After that, Jack gave
35 of his money to Vincent. In the end, Jack had
15 of the total sum of money. How much did Jack have at first?
| |
Vincent |
Jack |
Total |
| Before 1 |
5 p |
? |
$720 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$720 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$720 |
Comparing between
Vincent and Jack
in the end |
4x2 =
8 u |
1x2 =
2 u |
$720 |
The amount that Jack had in the end is the repeated. Make the amount that Jack had in the end the same. LCM of 2 and 1 is 2.
10 u = 720
1 u = 720 ÷ 10 = 72
5 u = 5 x 72 = 360
3 p = 720 - 360 = 360
1 p = 360 ÷ 3 = 120
Amount that Vincent had at first
= 5 p
= 5 x 120
= $600
Amount that Jack had at first
= 720 - 600
= $120
Answer(s): $120
