# 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? tashiiexb0o5c 2022-09-13 Answered 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?
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Monserrat Ellison
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 $23×n$ So the total charge would be $35+23×n$ And this total charge was$127

Hence:

$35+23×n=127$
$\therefore 23×n=127-35$
$\therefore 23×n=92$
$\therefore n=\frac{92}{23}$
$\therefore n=4$

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