Jack and Mark had a total of $162. Jack gave $29 to Mark. In return, Mark gave
17 of his money to Jack. In the end, Jack had twice as much money as Mark. How much money did Jack have at first?
| |
Jack |
Mark |
Total |
| Before |
|
|
$162 |
| Change 1 |
- $29 |
+ $29 |
|
| After 1 |
|
7 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
6 p |
|
Comparing Jack
and Mark
in the end |
2 u |
1 u |
$162 |
The total amount that Mark and Jack had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 162
1 u = 162 ÷ 3 = 54
Amount that Jack has in the end
= 2 u
= 2 x 54
= $108
Amount that Mark has in the end
= 1 u
= $54
6 p = 1 u = 54
1 p = 54 ÷ 6 = 9
Amount that Mark gave to Jack
= 1 p
= 1 x 9
= $9
Amount that Jack had at first
= 108 - 9 + 29
= $128
Answer(s): $128
