Hi, I really need help on this question, I'm stuck.

Lake View Middle School is having elections for Class President. Shawn has received a certain amount of votes. April has 6 more votes than Shawn, and David has 6 times as many votes as April. Michael received 1/2 the amount of votes as David.

-Write an algebraic expression that represents the amount of votes each person has received.

-If a total of 280 people voted, how many votes did each person receive and who would win the election?

-If a total of 566 people voted, how many votes did each person receive and who would win the election?

Start with Shawn votes as S.
Then april votes= S+6,
and so on.

Please, correct me if I'm wrong:

David has 6 times as many votes as April:
6(S+6)

Is that right?

Michael received 1/2 the amount of votes as David:
I really don't understand how to do this one....

Ok on david.

Michael =1/2 david or 1/2*6(S+6)

-If a total of 280 people voted, how many votes did each person receive and who would win the election?

Is this right?

Shawn= s=280

April= s+6=280
-6=6
s=274
David= 6(s+6)=280
6s+36=280
-36=36
6s=244
s=40.6
Michael= 1/2*6(s+6)=280
3(s+6)=280
3s+18=280
-18= 18
3s= 262
s=87.3
Is this right? I'm really confused..

Let's go step by step to solve the problem.

1. Write an algebraic expression that represents the amount of votes each person has received:

- Shawn: Let's represent the number of votes Shawn received as S.
- April: According to the information given, April has 6 more votes than Shawn. So, April's votes can be represented as S + 6.
- David: It is mentioned that David has 6 times as many votes as April. So, David's votes can be represented as 6(S + 6).
- Michael: It is stated that Michael received 1/2 the amount of votes as David. Therefore, Michael's votes can be represented as (1/2) * 6(S + 6).

2. If a total of 280 people voted, how many votes did each person receive and who would win the election?

Now we can use the given information to set up equations and solve for the number of votes each person received.

- Total number of votes = 280.

So we have the equation:
S + (S + 6) + 6(S + 6) + (1/2) * 6(S + 6) = 280

Now we can solve for S to find the number of votes each person received.

3. If a total of 566 people voted, how many votes did each person receive and who would win the election?

Using the same method, we can set up the equation:
S + (S + 6) + 6(S + 6) + (1/2) * 6(S + 6) = 566

And solve for S to find the number of votes each person received.

Please note that the calculations you provided in your message are not correct. It seems there might have been some confusion in the calculations. Using the correct equations and solving step by step will yield the correct results.