Chapter 1.3, Problem 18E

To determine

To find the number of movies must be rented to spend the same amount at each movie.

Answer to Problem 18E

20 movies

Explanation of Solution

Given:

  $1.5r+15=2.25r$

Where r represents the number of movies rented.

Also,

  

Calculation:

Looking at the above picture and the equation, it is clear that, the expression equates the total amount to be spent on both movies.

To find how many movies the total amount will be equal after renting, the expression has to be solved.

Now,

  $\begin{array}{l}\Rightarrow 1.5r+15=2.25r\\ \Rightarrow 0.75r=15\\ \Rightarrow r=\frac{15}{0.75}\\ \Rightarrow r=12\end{array}$

Conclusion:

Hence, if 12 movies are rented, the total amount will be equal for both movie store.