math help plz

Question

In a recent election Corrine Brown received 13,816 more votes than Bill Randall. If the total number of votes was 119,234, find the number of votes for each candidate.

Corrine Brown received ___________ votes.

Answer 1

C = votes for Corrine

B = votes for Bill

 

(1)  B + C = 119,234

(2)  C = B + 13,816

 

Solving for (1) and substituting in (2):

B = 119,234 - C

C = 119,234 - C + 13,816

2C = 133,050

C = 66,525 votes for Corrine

119,234 - 66,525 = 52,709 votes for Bill