## 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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4 months 2022-01-21T08:48:12+00:00 1 Answer 0 views 0

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 $$x.$$

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

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 = $$11\times 2x=22x.$$

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.