Daniel and Jack had $120 altogether. Jack gave
25 of his money to Daniel. After that, Daniel gave
35 of his money to Jack. In the end, Daniel had
15 of the total sum of money. How much did Daniel have at first?
| |
Jack |
Daniel |
Total |
| Before 1 |
5 p |
? |
$120 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$120 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$120 |
Comparing between
Jack and Daniel
in the end |
4x2 =
8 u |
1x2 =
2 u |
$120 |
The amount that Daniel had in the end is the repeated. Make the amount that Daniel had in the end the same. LCM of 2 and 1 is 2.
10 u = 120
1 u = 120 ÷ 10 = 12
5 u = 5 x 12 = 60
3 p = 120 - 60 = 60
1 p = 60 ÷ 3 = 20
Amount that Jack had at first
= 5 p
= 5 x 20
= $100
Amount that Daniel had at first
= 120 - 100
= $20
Answer(s): $20
