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17 May, 12:45

In the last election, Candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive? What is the equation for this problem and what is the answer to it?

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  1. 17 May, 15:06
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    B receives 62000 votes

    C receives 47000 votes

    Step-by-step explanation:

    Let C be the vote for candidate C

    Let B be the vote for candidates D

    Let the total vote be T. Therefore,

    C + B = T (1)

    But C receives 15000 votes fewer than B ie

    C = B - 15000 (2)

    Total votes, T = 109000

    Substituting the value of C and T into equation 1

    C + B = T

    B - 15000 + B = 109000

    Collect like terms

    B + B = 109000 + 15000

    2B = 124000

    Divide both side by the coefficient B i. e 2

    B = 124000/2

    B = 62000

    Putting the value of B into equation 2;

    C = B - 15000

    But B = 62000

    C = 62000 - 15000

    C = 47000

    B receives 62000 votes

    C receives 47000 votes
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