### Home > AC > Chapter 7 > Lesson 7.3.2 > Problem7-98

7-98.

In the spring of 2005, there were $30$ more Republicans than Democrats in the United States House of Representatives. There was also one member from an Independent Party. If there were $435$ representatives in all, how many Republicans were there? Write and solve an equation (or a system of equations) to find your solution.

Write an equation for the problem. $x + \left(x − 30\right) + 1 = 435$

$x = \text{the number of Republicans}$

Add like terms and solve for $x$ to find the number of Republicans.
\begin{aligned}2x − 29 = 435\\ 2x = 464 \\x = 232\end{aligned}

There were $232$ Republicans in the United States House of Representatives.