# 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 $5$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 + 23 \times n = 127$$\therefore 23 \times n = 127 - 35$$\therefore 23 \times 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