SOLUTION: You are comparing cell phone plans. Verizon says each phone line is $40 and there is a start up fee of $60. T-Mobile says each line costs $25 and the initial fee is $150. Find t

Algebra ->  Inequalities -> SOLUTION: You are comparing cell phone plans. Verizon says each phone line is $40 and there is a start up fee of $60. T-Mobile says each line costs $25 and the initial fee is $150. Find t      Log On


   

Question 1169411: You are comparing cell phone plans. Verizon says each phone line is $40 and there is a start up fee of $60. T-Mobile says each line costs $25 and the initial fee is $150. Find the number of phones and the cost each plan will be when the plans cost the same.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the number of the phone lines be x and total cost of the plan y
if Verizon says each phone line is $40 and there is a start up fee of $60, we have
y=40x%2B60.....eq.1
if T-Mobile says each line costs $25 and the initial fee is $150, we have
y=25x%2B150.....eq.2
the number of phones and the cost each plan will be when the plans cost the same will be
40x%2B60=25x%2B150
40x-25x=150-60
15x=90
x=6
check if 6 phone lines cost same:
Verizon :
y=40x%2B60.....eq.1
y=40%2A6%2B60
y=240%2B60
y=300
T-Mobile:
y=25x%2B150.....eq.2
y=25%2A6%2B150
y=150%2B150
y=300
both are same, so it's true