Daniel and Ryan had a total of $330. Daniel gave $36 to Ryan. In return, Ryan gave
14 of his money to Daniel. In the end, Daniel had four times as much money as Ryan. How much money did Daniel have at first?
| |
Daniel |
Ryan |
Total |
| Before |
|
|
$330 |
| Change 1 |
- $36 |
+ $36 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Daniel
and Ryan
in the end |
4 u |
1 u |
$330 |
The total amount that Ryan and Daniel had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 330
1 u = 330 ÷ 5 = 66
Amount that Daniel has in the end
= 4 u
= 4 x 66
= $264
Amount that Ryan has in the end
= 1 u
= $66
3 p = 1 u = 66
1 p = 66 ÷ 3 = 22
Amount that Ryan gave to Daniel
= 1 p
= 1 x 22
= $22
Amount that Daniel had at first
= 264 - 22 + 36
= $278
Answer(s): $278
