Archie and Carl had $648 altogether. Carl gave
25 of his money to Archie. After that, Archie gave
35 of his money to Carl. In the end, Archie had
16 of the total sum of money. How much did Archie have at first?
| |
Carl |
Archie |
Total |
| Before 1 |
5 p |
? |
$648 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$648 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$648 |
Comparing between
Carl and Archie
in the end |
5x2 =
10 u |
1x2 =
2 u |
$648 |
The amount that Archie had in the end is the repeated. Make the amount that Archie had in the end the same. LCM of 2 and 1 is 2.
12 u = 648
1 u = 648 ÷ 12 = 54
5 u = 5 x 54 = 270
3 p = 648 - 270 = 378
1 p = 378 ÷ 3 = 126
Amount that Carl had at first
= 5 p
= 5 x 126
= $630
Amount that Archie had at first
= 648 - 630
= $18
Answer(s): $18
