Carl and Sam had $144 altogether. Sam gave
25 of his money to Carl. After that, Carl gave
35 of his money to Sam. In the end, Carl had
16 of the total sum of money. How much did Carl have at first?
| |
Sam |
Carl |
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
Sam and Carl
in the end |
5x2 =
10 u |
1x2 =
2 u |
$144 |
The amount that Carl had in the end is the repeated. Make the amount that Carl 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 Sam had at first
= 5 p
= 5 x 28
= $140
Amount that Carl had at first
= 144 - 140
= $4
Answer(s): $4
