Jack and John had $210 altogether. John gave
25 of his money to Jack. After that, Jack gave
35 of his money to John. In the end, Jack had
15 of the total sum of money. How much did Jack have at first?
| |
John |
Jack |
Total |
| Before 1 |
5 p |
? |
$210 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$210 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$210 |
Comparing between
John and Jack
in the end |
4x2 =
8 u |
1x2 =
2 u |
$210 |
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 = 210
1 u = 210 ÷ 10 = 21
5 u = 5 x 21 = 105
3 p = 210 - 105 = 105
1 p = 105 ÷ 3 = 35
Amount that John had at first
= 5 p
= 5 x 35
= $175
Amount that Jack had at first
= 210 - 175
= $35
Answer(s): $35
