'the accountant charged $23 for the hour of work and $23 for each for each hour after that . He earned a total of $127. How many hours did he work'
23x = 127
5hours
To find out how many hours the accountant worked, we can set up an equation based on the given information. Let's break it down step by step:
Let's assume that the accountant worked for 'x' hours.
According to the information given, the accountant charged $23 for the first hour and $23 for each additional hour. So, the total amount charged for 'x' hours can be expressed as:
$23 + ($23 * (x - 1))
Now, we know that the accountant earned a total of $127. So, we can set up the equation:
$23 + ($23 * (x - 1)) = 127
Now, let's solve this equation to find the value of 'x' (hours):
$23 + ($23 * (x - 1)) = 127
Simplify the equation:
$23 + $23x - $23 = $127
Combine like terms:
$23x = $127 - $23
$23x = $104
Now, divide both sides by $23 to solve for 'x':
x = $104 / $23
x ≈ 4.52
So, the accountant worked approximately 4.52 hours, which we can round up to 5 hours.
Therefore, the accountant worked 5 hours.