You are paid 1.2 times your normal hourly rate for each hour you work over 40 hours in a week.

You are paid 1.2 times your normal hourly rate for each hour you work over 40 hours in a week. You work 46 hours this week and earn $462.56. What is your normal hourly rate?

The answer is reasonable because when we put it back into the equation, we would get the total amount earned the previous week.

Explanation:

To solve this problem, we need to approach it sentence by sentence:

I am paid 1.2 times his normal hourly rate for each hour I works over 40 hours in a week.

Let My normal hourly rate = y

So, 1.2 times my normal hourly rate = 1.2y

For each hour worked above 30hrs, I am paid 1.2y

Last week I worked 40 hours and earned $462.00

Total number of hours worked last week = 46hrs;

Amount earned = $462

I worked 10hrs above the normal 30hrs limit, so;

Write and solve an equation to find Julio’s normal hourly rate

30y + 1.2y(10) = 462

30y + 12y = 462

42y = 462

y = 10.14

The number of hours worked = $10.14/hrs

Thus,My normal hourly rate is $10.5/hr.