Billy and Jeremy had a total of $168. Billy gave $32 to Jeremy. In return, Jeremy gave
15 of his money to Billy. In the end, Billy had six times as much money as Jeremy. How much money did Billy have at first?
| |
Billy |
Jeremy |
Total |
| Before |
|
|
$168 |
| Change 1 |
- $32 |
+ $32 |
|
| After 1 |
|
5 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
4 p |
|
Comparing Billy
and Jeremy
in the end |
6 u |
1 u |
$168 |
The total amount that Jeremy and Billy had remains unchanged.
Total amount in the end
= 6 u + 1 u
= 7 u
7 u = 168
1 u = 168 ÷ 7 = 24
Amount that Billy has in the end
= 6 u
= 6 x 24
= $144
Amount that Jeremy has in the end
= 1 u
= $24
4 p = 1 u = 24
1 p = 24 ÷ 4 = 6
Amount that Jeremy gave to Billy
= 1 p
= 1 x 6
= $6
Amount that Billy had at first
= 144 - 6 + 32
= $170
Answer(s): $170
