Ben and Daniel had $864 altogether. After Ben spent
16 of his money and Daniel spent
34 of his money, Ben was left with twice as much money as Daniel. How much money did Daniel have at first?
| |
Ben |
Daniel |
Total |
| Before |
6x2 =
12 u |
4x5 =
20 u |
$864 |
| Change |
- 1x2 =
- 2 u |
- 3x5 =
- 15 u |
|
| After |
5x2 =
10 u |
1x5 =
5 u |
|
Comparing Ben
and Daniel in the end |
2x5 =
10 u |
1x5 =
5 u |
|
The amount that Ben had in the end is repeated. Make the amount that Ben had in the end the same. LCM of 5 and 2 is 10.
Total amount that Ben and Daniel had at first
= 12 u + 20 u
= 32 u
32 u = 864
1 u = 864 ÷ 32 = 27
Amount that Daniel had at first
= 20 u
= 20 x 27
= $540
Answer(s): $540
