Question

A cell phone company charges a $45 activation fee and $65 per month for their monthly plan. Another cell phone company charges $55 per month and a $175 activation fee for their monthly plan.


the number of months it takes for the plans to cost the same is months

Answer 1

Answer:

13 months.

Step-by-step explanation:

Let $x$ be the number of months it takes for the plans to cost the same.

Company 1:

Activation fee = $ 45

Fee per month = $ 65

Therefore, fee for $x$ months = $\ 65x$.

Total cost for $x$ months = $65x+45$.

Company 2:

Activation fee = $ 175

Fee per month = $ 55

Therefore, fee for $x$ months = $\ 55x$

Total cost for $x$ months = $55x+175$.

Now, the total cost for both the companies are same if,

$65x+45=55x+175\\ 65x-55x=175-45\\ 10x=130\\ x=\frac{130}{10}\\ x=13$

Therefore, after 13 months, the cost for both the companies will be same.