Question

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Sprint’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 will it take for the two plans to cost the same?

Answer 1

100 minutes

Explanation:

Sprints = $39.99 +&0.45

Verizon= $44.99+$0.40

Step 1: Equate the values

`39.99 + 0.45m = 44.99 + 0.40m`

Step 2 :Collect like terms and simplify

`0.45m - 0.40m = 44.99 - 39.99 \\ 0.05m = 5`

Step 3 :Divide both sides of the equation by 0.05

`(0.05m)/(0.05) = (5)/(0.05)`

Step 4 :Simplify

`m = 100 \\ = 100 \: minutes`