Question

Write an equation to find the number of rides (r) you will get for $10 if you choose The carnival offers you two different options for buying tickets. OPTION A: $2.00 entry fee plus $0.75 per ride OPTION B: $5.00 entry fee plus $0.25 per ride

Answer 1

According to the problem, option A costs $2.00 entry fee plus $0.75 per ride, and option B costs $5.00 entry fee plus $0.25 per ride​.

Based on the given information, we can define the following equations

$\begin{gathered} A\colon2+0.75r \\ B\colon5+0.25r \end{gathered}$

So, if we choose option A for $10 we get

$\begin{gathered} 2+0.75r=10 \\ 0.75r=10-2 \\ 0.75r=8 \\ r=\frac{8}{0.75} \\ r=10.7 \end{gathered}$

Hence, we get 10 rides using option A.

Additionally,

$\begin{gathered} 5+0.25r=10 \\ 0.25r=10-5 \\ 0.25r=5 \\ r=\frac{5}{0.25} \\ r=20 \end{gathered}$

Hence, we get 20 rides using option B with $10.