Final answer:
To determine the number of votes Momo received for the MVP award, a system of equations is used based on the information provided: Momo received 12 fewer votes than Koko and 36 fewer than Suzy, with a total of 384 votes cast. Solving these equations revealed that Momo received 132 votes.
Step-by-step explanation:
Let's define the number of votes Momo received as M. According to the problem, Koko received 12 more votes than Momo and 36 more votes than Suzy. This can be translated into the following equations:
- Koko = M + 12
- Koko = Suzy + 36
- M + Koko + Suzy = 384 (total votes)
To find out how many votes Momo received, we can use these equations to set up a system. If Koko received M + 12 votes and also received Suzy + 36 votes, it implies that M + 12 = Suzy + 36, or M = Suzy + 24 after re-arranging the equation.
Substituting M + 12 for Koko and M for Suzy + 24 into the total votes equation, we have:
M + (M + 12) + (M - 24) = 38
Simplifying this equation gives:
3M - 12 = 384
3M = 396
M = 132
Therefore, Momo received 132 votes.