Billy and Ethan had a total of $320. Billy gave $45 to Ethan. In return, Ethan gave
16 of his money to Billy. In the end, Billy had thrice as much money as Ethan. How much money did Billy have at first?
| |
Billy |
Ethan |
Total |
| Before |
|
|
$320 |
| Change 1 |
- $45 |
+ $45 |
|
| After 1 |
|
6 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
5 p |
|
Comparing Billy
and Ethan
in the end |
3 u |
1 u |
$320 |
The total amount that Ethan and Billy had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 320
1 u = 320 ÷ 4 = 80
Amount that Billy has in the end
= 3 u
= 3 x 80
= $240
Amount that Ethan has in the end
= 1 u
= $80
5 p = 1 u = 80
1 p = 80 ÷ 5 = 16
Amount that Ethan gave to Billy
= 1 p
= 1 x 16
= $16
Amount that Billy had at first
= 240 - 16 + 45
= $269
Answer(s): $269
