SOLUTION: A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.15 for each minute of calls. Plan B has no initial fee but costs $0.20 for each minute of calls. Fo

Click here to see ALL problems on Linear Equations And Systems Word Problems

Question 1200236: A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.15 for each minute of calls. Plan B has no initial fee but costs $0.20 for 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?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
PLAN A

PLAN B

The rest you can figure.

Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website!
.
A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.15
for each minute of calls. Plan B has no initial fee but costs $0.20 for 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?
~~~~~~~~~~~~~~~~

Plan A cost is A(m) = 23 + 0.15m dollars, where m represents minutes. Plan B cost is B(m) = 0.20m dollars, where m represents minutes. The cost is the same when A(m) = B(m), or 23 + 0.15m = 0.20m dollars. From this equation find m 23 = 0.20m - 0.15m 23 = 0.05m m = = 460 minutes. hus the cost of planes A and B is the same at m - 460 minutes. ANSWER This cost is 0.2*460 = 92 dollars. ANSWER

Solved, with complete explanations.