A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of each minute of calls.

250 minutes of calling will cost same using both plans.

$53

Step-by-step explanation:

Please consider the complete question.

A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of each minute of calls.  For what amount of calling do the two plans cost the same?  What is the cost when the two plans cost the same?

Let x represent the number of call minutes.

The total cost of calling for x minutes using plan A would be cost of x minutes plus fixed charge that is .

The total cost of calling for x minutes using plan B would be cost of x minutes plus fixed charge that is .

To find the number of minutes for which both plans will have same cost, we will equate total cost of x minutes for both plans and solve for x.

Therefore, calling for 250 minutes will cost same using both plans.

Upon substituting in expression , we will get:

Therefore, the cost will be $53, when the two plans cost the same.