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

Answer:

#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