Andy and John had $360 altogether. John gave
25 of his money to Andy. After that, Andy gave
35 of his money to John. In the end, Andy had
16 of the total sum of money. How much did Andy have at first?
| |
John |
Andy |
Total |
| Before 1 |
5 p |
? |
$360 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$360 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$360 |
Comparing between
John and Andy
in the end |
5x2 =
10 u |
1x2 =
2 u |
$360 |
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 = 360
1 u = 360 ÷ 12 = 30
5 u = 5 x 30 = 150
3 p = 360 - 150 = 210
1 p = 210 ÷ 3 = 70
Amount that John had at first
= 5 p
= 5 x 70
= $350
Amount that Andy had at first
= 360 - 350
= $10
Answer(s): $10
