Caden and Cody had $432 altogether. Cody gave
25 of his money to Caden. After that, Caden gave
35 of his money to Cody. In the end, Caden had
16 of the total sum of money. How much did Caden have at first?
| |
Cody |
Caden |
Total |
| Before 1 |
5 p |
? |
$432 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$432 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$432 |
Comparing between
Cody and Caden
in the end |
5x2 =
10 u |
1x2 =
2 u |
$432 |
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 = 432
1 u = 432 ÷ 12 = 36
5 u = 5 x 36 = 180
3 p = 432 - 180 = 252
1 p = 252 ÷ 3 = 84
Amount that Cody had at first
= 5 p
= 5 x 84
= $420
Amount that Caden had at first
= 432 - 420
= $12
Answer(s): $12
