### Home > CCAA8 > Chapter 3 Unit 4 > Lesson CCA: 3.2.1 > Problem3-36

3-36.

Write and solve an equation for the following problem.

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?

Try writing equations to model the number of votes each candidate received.

$C=B−15,000$
$B+C=109,000$

$B+(B−15,000)=109,000$

$2B−15,000=109,000$
$\ \ \ \ \ +15,000\ +15,000$

$2B=124,000$

$62,000$ votes