Andy and Asher had $972 altogether. Asher gave
25 of his money to Andy. After that, Andy gave
35 of his money to Asher. In the end, Andy had
16 of the total sum of money. How much did Andy have at first?
| |
Asher |
Andy |
Total |
| Before 1 |
5 p |
? |
$972 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$972 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$972 |
Comparing between
Asher and Andy
in the end |
5x2 =
10 u |
1x2 =
2 u |
$972 |
The amount that Andy had in the end is the repeated. Make the amount that Andy had in the end the same. LCM of 2 and 1 is 2.
12 u = 972
1 u = 972 ÷ 12 = 81
5 u = 5 x 81 = 405
3 p = 972 - 405 = 567
1 p = 567 ÷ 3 = 189
Amount that Asher had at first
= 5 p
= 5 x 189
= $945
Amount that Andy had at first
= 972 - 945
= $27
Answer(s): $27
