Chapter 2.2, Problem 25P

An online movie club offers a membership for $5 per month. Members can rent movies for $1.50 per rental. A member was billed $15.50 one month. Write and solve an equation to find how many movies the member rented.

To determine

To find:The number of movies the member rented.

Answer to Problem 25P

The member rented 7 movies.

Explanation of Solution

Given information:An online movie club offers a membership for $\$5$ per month. Members can rent movies for $\$1.50$ per rental. A member was billed $\$15.50$ one month.

Calculation: Let the number of movies rented bex .

For 1 movie rental charge is $\$1.50$

Then for x movies rental charge is $\$1.50x$

Therefore, total charge for one month $=\$(5+1.50x)$

According to the problem,

  $\begin{array}{l}5+1.50x=15.50\\ \Rightarrow 1.50x=15.50-5\\ \Rightarrow 1.50x=10.50\\ \Rightarrow x=\frac{10.50}{1.50}\\ \Rightarrow x=7\end{array}$

Thus, the member rented 7 movies.