The US Senate has 100 members. After a certain election, there were 4 more Democrats than Republicans with no other parties represented. How many members of each party were there in the Senate?

May 1, 2018

48 Republicans and 52 Democrats.

Explanation:

Let the number of Republicans be $x$.
There are $x + 4$ Democrats.

Thus, $x + \left(x + 4\right) = 100$
$\implies 2 x = 100 - 4$
$\implies x = \frac{96}{2} = 48$

There are 48 + 4 = 52 Democrats.