Caden and Asher had $1044 altogether. Asher gave
25 of his money to Caden. After that, Caden gave
35 of his money to Asher. In the end, Caden had
16 of the total sum of money. How much did Caden have at first?
| |
Asher |
Caden |
Total |
| Before 1 |
5 p |
? |
$1044 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$1044 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$1044 |
Comparing between
Asher and Caden
in the end |
5x2 =
10 u |
1x2 =
2 u |
$1044 |
The amount that Caden had in the end is the repeated. Make the amount that Caden had in the end the same. LCM of 2 and 1 is 2.
12 u = 1044
1 u = 1044 ÷ 12 = 87
5 u = 5 x 87 = 435
3 p = 1044 - 435 = 609
1 p = 609 ÷ 3 = 203
Amount that Asher had at first
= 5 p
= 5 x 203
= $1015
Amount that Caden had at first
= 1044 - 1015
= $29
Answer(s): $29
