Plan A is $27.95/mo. and $.12/min. Plan B is $12.95/mo. and $.32/min. For what number of minutes are the costs of the plans the same?

Question

How do I set up the equation for this?

Answer 1

The English explanation for the answer is this  - Plan B costs 20 cents more a minute (.32-.12) than Plan A.  Plan A costs $15 more to start (27.95-12.95) than plan B.  

 

The costs are equal when the .20 per minute costs exactly $15.

 

 

Answer 2

Let t = the number of minutes.

 

Plan A =  $27.95 + ($0.12)t

 

Plan B = $12.95 + ($0.32)t

 

The plans are equal when Plan A = Plan B:

 

$27.95 + ($0.12)t = $12.95 + ($0.32)t

 

15 = (0.2)t

 

Solve for t.