Nick and Peter had $180 altogether. Peter gave
25 of his money to Nick. After that, Nick gave
35 of his money to Peter. In the end, Nick had
16 of the total sum of money. How much did Nick have at first?
| |
Peter |
Nick |
Total |
| Before 1 |
5 p |
? |
$180 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$180 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$180 |
Comparing between
Peter and Nick
in the end |
5x2 =
10 u |
1x2 =
2 u |
$180 |
The amount that Nick had in the end is the repeated. Make the amount that Nick had in the end the same. LCM of 2 and 1 is 2.
12 u = 180
1 u = 180 ÷ 12 = 15
5 u = 5 x 15 = 75
3 p = 180 - 75 = 105
1 p = 105 ÷ 3 = 35
Amount that Peter had at first
= 5 p
= 5 x 35
= $175
Amount that Nick had at first
= 180 - 175
= $5
Answer(s): $5
