Question

2 different companies offer online subscriptions. Company A charges $75 upfront and $20 per month. Company B does not charge the upfront fee but charges $35 per month after how many months will the two companys charge the same amount

Answer 1

Answer:

$15$ months

Step-by-step explanation:

Given that company $A$ charges  $\ 75$ upfront and $\ 20$ per month and company B does not charge the upfront fee but charges $\ 35$ per month.

Let after $n$ months both the company charges the same amount.

Total charges by the company $A=\ (75+n\times 20)$ and total charges by the company $B=\ (n\times 35)$.

Now, from the given condition both the charges are equal, so

$75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15$

Hence, after $15$ months both the company charges the same amount.