Angelo is paid double time for each hour he works over 40 hours in a week. Last week he worked 42 hours and earned $660. What is his normal hourly rate?

So essentially he worked 44 hrs. hourly rate= 660/44

pay= 40*h+ (42-40)*2h is another way.

660=h(40+84-80)
660=h*44

Putting it into an equation of what's known and what isn't.

We know his normal hours but not the pay. Let x be the missing number.
x=hourly pay
40x
we know he worked two extra hours at two times the rate.
2 times 2x
we know his wages with 2 times 2x
so put this together
40x + 4x=44x
divide 660 by 44 to solve for x
and you get 15.

Does that make sense?

To find Angelo's normal hourly rate, we need to calculate the extra amount he earned for the two hours he worked over 40 hours in a week.

Let's assume his normal hourly rate is x.

Since his overtime rate is double his normal rate, his overtime rate would be 2x.

Now let's calculate his earnings:
For the 40 regular hours, Angelo earns 40 * x = 40x dollars.
For the 2 overtime hours, he earns 2 * (2x) = 4x dollars.

Therefore, his total earnings for the week would be 40x + 4x = 44x dollars.

We know that his total earnings for the week were $660, so we can set up the equation:

44x = 660

To find x, we divide both sides of the equation by 44:

x = 660 / 44

Simplifying the division:

x = 15

Therefore, Angelo's normal hourly rate is $15.