Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number of red cars. How many cars are white?

Question

Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number of red cars. How many cars are white?

Answer 1

Let $r$ denote the number of red cars and $w$ denote the number of white cars. We set up a system to solve: \begin{align*}

w+r&=75 \\
w&=3+2r.
\end{align*} Substituting the second equation into the first to eliminate $w$ gives $3+3r=75$, so $r=24$ and $w=75-24=\boxed{51}$ cars are white.