Question

You are comparing phone plans. Q company charges a one time fee of $25 and then $3 per month. W company charges a one time fee of $60 and then $1 per month. How many months until the two companies have the same cost

Answer 1

17 1/2 months or rounded up to 18

Explanation:

so first you need to set up an equation,

lets do company Q first..

because the monthly fee is 3 bucks thats gonna be the number that goes hand in hand with x so lets put that down

Q - 3x

now we have to add our one time fee of 25 dollars

Q - 3x + 25 .. bam thats our first equation

lets do the same thing for our next company

W - x + 60

( because the fee is one dollar, theres no reason to put 1x, its not mathematically correct, so we just leave it as x )

so now we have to set up the equation together, and because we are trying to find when the two will meet and have an EQUAL cost we make them equal to each other

so

3x + 25 = x + 60

if you solve it...

2x + 25 = 60

2x + 35

x = 17.5