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?

Answer 1

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.