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Concept explainers
a.
To calculate : Number of students voted for Hector
a.
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Answer to Problem 50PPS
243 students
Explanation of Solution
Given information : Total number of students in 8th grade = 540
Fraction of class that voted=
Fraction of class that voted for Hector =
Formula used: 1. Number of students who voted in election =
2. Number of students voted for Hector=
Calculation : Substituting values in Formula 1
Number of students who voted in election
Now, Substituting values in Formula 2
Number of students voted for Hector
Therefore, number of students who voted for Hector= 243
b.
To calculate: Number of students voted for Nora
b.
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Answer to Problem 50PPS
135 students
Explanation of Solution
Given information : Total number of students in 8th grade = 540
Fraction of class that voted=
Fraction of class that voted for Nora =
Formula used: 1. Number of students who voted in election =
2. Number of students voted for Nora =
Calculation : Substituting values in Formula 1
Number of students who voted in election
Now, Substituting values in Formula 2
Number of students voted for Nora
Therefore, number of students who voted for Nora = 135
c.
To calculate : Fraction of students who voted for other president if present.
c.
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Answer to Problem 50PPS
Yes, there are other candidates for class president because total number of students who voted is 405.
And total number of students who voted for Hector and Nora is 378 which implies that there are more students who voted for other president also.
Fraction of students who voted for other class president =
Explanation of Solution
Given information : Total number of students in 8th grade = 540
Fraction of class that voted=
Fraction of class that voted for Hector =
Fraction of class that voted for Nora =
Formula used: 1. Number of students who voted in election =
2. Number of students voted for Hector=
3. Number of students voted for Nora =
4. Fraction of students who voted for other president =
Calculation : Substituting values in Formula 1, we get
Number of students who actually voted
Substituting values in Formula 2, we get
Number of students voted for Hector =
Substituting values in Formula 3, we get
Number of students voted for Nora =
By adding values in (eq. 2 and eq. 3) and subtracting from (eq. 1), we get
Number of students who voted for other president = 27
By substituting values in Formula 4,
Fraction of students who voted for other president =
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