Use this scenario: Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $20 and charges of \$.05/min for calls. Company B has a monthly fee of $5 and charges $.10/min for calls. Find out how many minutes of calling would make the two plans equal.

If company A has a monthly fee of $20 and charges of \$.05/min for calls and company B has a monthly fee of $5 and charges $.10/min for calls then the number of minutes of calling that would make the two plans equal is 300 minutes.

Given that company A has a monthly fee of $20 and charges of $.05/min for calls and company B has a monthly fee of $5 and charges $.10/min for calls.

We are required to find the number of minutes for which both the plans are equal.

Suppose the number of minutes of calling that would make the two plans equal is x.

Plan of company A=20+0.05x

Plan of company B=5+0.10x

We have to put the expressions equal to each other.

20+0.05x=5+0.10x

20-5=0.10x-0.05x

15=0.05x

x=15/0.05

x=1500/5

x=300

Hence if company A has a monthly fee of $20 and charges of \$.05/min for calls and company B has a monthly fee of $5 and charges $.10/min for calls then the number of minutes of calling that would make the two plans equal is 300 minutes.

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