Michael and Jack had a total of $240. Michael gave $13 to Jack. In return, Jack gave
17 of his money to Michael. In the end, Michael had four times as much money as Jack. How much money did Michael have at first?
| |
Michael |
Jack |
Total |
| Before |
|
|
$240 |
| Change 1 |
- $13 |
+ $13 |
|
| After 1 |
|
7 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
6 p |
|
Comparing Michael
and Jack
in the end |
4 u |
1 u |
$240 |
The total amount that Jack and Michael had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 240
1 u = 240 ÷ 5 = 48
Amount that Michael has in the end
= 4 u
= 4 x 48
= $192
Amount that Jack has in the end
= 1 u
= $48
6 p = 1 u = 48
1 p = 48 ÷ 6 = 8
Amount that Jack gave to Michael
= 1 p
= 1 x 8
= $8
Amount that Michael had at first
= 192 - 8 + 13
= $197
Answer(s): $197
