Chapter 1.3, Problem 27E

To determine

To find: the month when the same total amount is paid to both the internet service.

Answer to Problem 27E

5 months

Explanation of Solution

Given:

For company A, installation fee is $60 and price per month is $42.95.

For company B, installation fee is $25 and price per month is $49.95.

Let after t months the same total amount is paid to both the internet service.

The total amount paid to company A after t months is $=60+42.95t$

The total amount paid to company A after t months is $=25+49.95t$

Since, t months the same total amount is paid to both the internet service. So,

  $\begin{array}{c}60+42.95t=25+49.95t\\ 60-25=49.95t-42.95t\\ 35=7t\end{array}$

  $\begin{array}{c}\frac{35}{7}=t\\ 5=t\end{array}$

Conclusion:

After 5 months, the same total amount is paid to both the internet service.