Luke and Ben had $828 altogether. Ben gave
25 of his money to Luke. After that, Luke gave
35 of his money to Ben. In the end, Luke had
16 of the total sum of money. How much did Luke have at first?
| |
Ben |
Luke |
Total |
| Before 1 |
5 p |
? |
$828 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$828 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$828 |
Comparing between
Ben and Luke
in the end |
5x2 =
10 u |
1x2 =
2 u |
$828 |
The amount that Luke had in the end is the repeated. Make the amount that Luke had in the end the same. LCM of 2 and 1 is 2.
12 u = 828
1 u = 828 ÷ 12 = 69
5 u = 5 x 69 = 345
3 p = 828 - 345 = 483
1 p = 483 ÷ 3 = 161
Amount that Ben had at first
= 5 p
= 5 x 161
= $805
Amount that Luke had at first
= 828 - 805
= $23
Answer(s): $23
