Perry and Cole had a total of $270. Perry gave $41 to Cole. In return, Cole gave
13 of his money to Perry. In the end, Perry had four times as much money as Cole. How much money did Perry have at first?
| |
Perry |
Cole |
Total |
| Before |
|
|
$270 |
| Change 1 |
- $41 |
+ $41 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Perry
and Cole
in the end |
4 u |
1 u |
$270 |
The total amount that Cole and Perry had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 270
1 u = 270 ÷ 5 = 54
Amount that Perry has in the end
= 4 u
= 4 x 54
= $216
Amount that Cole has in the end
= 1 u
= $54
2 p = 1 u = 54
1 p = 54 ÷ 2 = 27
Amount that Cole gave to Perry
= 1 p
= 1 x 27
= $27
Amount that Perry had at first
= 216 - 27 + 41
= $230
Answer(s): $230
