Question

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?
Help me out and show work for this!

Answer 1

Answer: 100 minutes.

Step-by-step explanation:

Make both equations equal each other:

39.99 + 0.45m = 44.99 + 0.40m

Wash out some of the clutter by finding combining like terms:

0.05m = 5

Now, divide by the coefficent of x:

$\frac{0.05m}{0.05} = \frac{5}{0.05}$

m = 100