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

`15` months

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* 20)` and total charges by the company
`B=\$ (n* 35)`.

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

`75+n* 20=n* 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.