Question

A cell phone company charges a $120 for phone in $35 month for the phone service another cell phone company charges $55 a month for phone service with a free phone after how many months with the phone services cost the sameA. 4b.5c.6d.7

Answer 1

Let x be number of months.

The cost of the first company is:

$35x+120$

The cost of the second company is:

$55x$

To find after how many months the services will be the same we equate the expressions and solve for x:

$\begin{gathered} 55x=35x+120 \\ 55x-35x=120 \\ 20x=120 \\ x=\frac{120}{20} \\ x=6 \end{gathered}$

Therefore, the phone services will cost the same after 6 months.