Problema Solution

One cell phone company charges 5 cents per minute with a $39.95 monthly fee, and another charges only one cent per minute with a $59.95 monthly fee. How many minutes would it take for them to cost the same amount? How much will they cost?

Answer provided by our tutors

Let 'x' represent the number of minutes.

For x minutes the first company will charge: 39.95 + 0.05x

For x minutes the second company will charge: 59.95 + 0.01x

We need to find x such that:

39.95 + 0.05x = 59.95 + 0.01x

........

click here to see the equation solved for x

........

x = 500 min

39.95+0.05*500 = $64.95

For 500 minutes, both companies will charge the same, that is 500 minutes per month cost $64.95.