Michael and Reggie had a total of $315. Michael gave $11 to Reggie. In return, Reggie gave
16 of his money to Michael. In the end, Michael had six times as much money as Reggie. How much money did Michael have at first?
| |
Michael |
Reggie |
Total |
| Before |
|
|
$315 |
| Change 1 |
- $11 |
+ $11 |
|
| After 1 |
|
6 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
5 p |
|
Comparing Michael
and Reggie
in the end |
6 u |
1 u |
$315 |
The total amount that Reggie and Michael had remains unchanged.
Total amount in the end
= 6 u + 1 u
= 7 u
7 u = 315
1 u = 315 ÷ 7 = 45
Amount that Michael has in the end
= 6 u
= 6 x 45
= $270
Amount that Reggie has in the end
= 1 u
= $45
5 p = 1 u = 45
1 p = 45 ÷ 5 = 9
Amount that Reggie gave to Michael
= 1 p
= 1 x 9
= $9
Amount that Michael had at first
= 270 - 9 + 11
= $272
Answer(s): $272
