Archie and David had a total of $320. Archie gave $12 to David. In return, David gave
15 of his money to Archie. In the end, Archie had thrice as much money as David. How much money did Archie have at first?
| |
Archie |
David |
Total |
| Before |
|
|
$320 |
| Change 1 |
- $12 |
+ $12 |
|
| After 1 |
|
5 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
4 p |
|
Comparing Archie
and David
in the end |
3 u |
1 u |
$320 |
The total amount that David and Archie had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 320
1 u = 320 ÷ 4 = 80
Amount that Archie has in the end
= 3 u
= 3 x 80
= $240
Amount that David has in the end
= 1 u
= $80
4 p = 1 u = 80
1 p = 80 ÷ 4 = 20
Amount that David gave to Archie
= 1 p
= 1 x 20
= $20
Amount that Archie had at first
= 240 - 20 + 12
= $232
Answer(s): $232
