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?

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