Question

An accountant earns $35 for the first hour and $23 for each subsequent hour per client. The accountant charges a client $127. How many hours did they work?

Answer 1

`5` hours

Explanation:

Suppose the number of addition hours the accountant worked is denoted by `n`.

Then the additional charge for each additional hour (at a rate of `$23` per hour) would be `$23xxn`

So the total charge would be `$35 + 23xxn`

And this total charge was `$127`

Hence:

`35 + 23xxn = 127`
`:. 23xxn = 127 -35`
`:. 23xxn = 92`
`:. n = 92/23`
`:. n = 4`

So the accountant worked for 4 additional hours, along with the initial hour, ie `5` hours