Answer:
His standard pay was 3.05.
Step-by-step explanation:
Given:
Dan's first summed job was working behind the counter at Dairy Queen.
He earned double time for any hours worked over 40 in a given week.
If during one week he worked 51 hours and earned 189.10.
Now, to find his standard hourly pay.
Let his standard hourly pay be [tex]x.[/tex]
So, the total amount worked over 40 hours in a week is = [tex]40\times x=40x.[/tex]
As, given that he earned double time for any hours worked over 40 in a given week.
As, in one week he worked 51 hours.
So, the over he worked in one week = [tex]51-40=11\ hours.[/tex]
Thus, the hourly rate = [tex]2x.[/tex]
The money he earned for the over work = [tex]11\times 2x=22x.[/tex]
As, given:
If during one week he worked 51 hours and earned 189.10.
Now, to get his standard hourly pay by putting an equation:
[tex]40x+22x=189.10[/tex]
[tex]62x=189.10[/tex]
Dividing both sides by 62 we get:
[tex]x=3.05.[/tex]
Therefore, his standard pay was 3.05.
