Sean and Ethan had a total of $140. Sean gave $48 to Ethan. In return, Ethan gave
15 of his money to Sean. In the end, Sean had six times as much money as Ethan. How much money did Sean have at first?
| |
Sean |
Ethan |
Total |
| Before |
|
|
$140 |
| Change 1 |
- $48 |
+ $48 |
|
| After 1 |
|
5 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
4 p |
|
Comparing Sean
and Ethan
in the end |
6 u |
1 u |
$140 |
The total amount that Ethan and Sean had remains unchanged.
Total amount in the end
= 6 u + 1 u
= 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Amount that Sean has in the end
= 6 u
= 6 x 20
= $120
Amount that Ethan has in the end
= 1 u
= $20
4 p = 1 u = 20
1 p = 20 ÷ 4 = 5
Amount that Ethan gave to Sean
= 1 p
= 1 x 5
= $5
Amount that Sean had at first
= 120 - 5 + 48
= $163
Answer(s): $163
