Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular's plan charges $39.99 per minute with additional minutes costing $0.45. Verizon's plan costs $44.99 with additional minutes at $0.40. How many additional minutes will it take for the the two plans to cost the same

Answer: it will take 200 additional minutes for the two plans to cost the same.

Step-by-step explanation:

Let x represent the number of additional minutes it will take for the the two plans to cost the same.

Cingular's plan charges $39.99 per minute with additional minutes costing $0.45. This means that the total cost of x additional minutes would be

39.99 + 0.45x

Verizon's plan costs $44.99 with additional minutes at $0.40. This means that the total cost of x additional minutes would be

44.99 + 0.4x

For the the two plans to cost the same, the number of additional minutes would be

39.99 + 0.45x = 44.99 + 0.4x

0.45x - 0.4x = 44.99 - 39.99

0.05x = 10

x = 10/0.05

x = 200