Jack and Luke had $144 altogether. Luke gave
25 of his money to Jack. After that, Jack gave
35 of his money to Luke. In the end, Jack had
16 of the total sum of money. How much did Jack have at first?
| |
Luke |
Jack |
Total |
| Before 1 |
5 p |
? |
$144 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$144 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$144 |
Comparing between
Luke and Jack
in the end |
5x2 =
10 u |
1x2 =
2 u |
$144 |
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.
12 u = 144
1 u = 144 ÷ 12 = 12
5 u = 5 x 12 = 60
3 p = 144 - 60 = 84
1 p = 84 ÷ 3 = 28
Amount that Luke had at first
= 5 p
= 5 x 28
= $140
Amount that Jack had at first
= 144 - 140
= $4
Answer(s): $4
