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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Answer 1 · 2017-03-16T20:37:14

$5$ hours

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