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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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Answer:

His standard pay was 3.05.

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
x.

So, the total amount worked over 40 hours in a week is =
40* x=40x.

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 =
51-40=11\ hours.

Thus, the hourly rate =
2x.

The money he earned for the over work =
11* 2x=22x.

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:


40x+22x=189.10


62x=189.10

Dividing both sides by 62 we get:


x=3.05.

Therefore, his standard pay was 3.05.

User Mike Hordecki
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