## 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. Wh

Question

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. What was his standard hourly pay if during one week he worked 51 hours and earned 189.10?

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2022-01-21T08:48:12+00:00
2022-01-21T08:48:12+00:00 1 Answer
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## Answers ( )

Answer:His standard pay was3.05.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.