# 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?

##### 1 Answer

Mar 16, 2017

#### Explanation:

Suppose the number of addition hours the accountant worked is denoted by

Then the additional charge for each additional hour (at a rate of

So the total charge would be

And this total charge was

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