You have a summer job that pays time and a half for overtime (if you work more than 40 hours a week, your hourly wage for the extra hours is 1.5 times your normal rate of $7.50 per hour). What is the amount you will get paid if you work 47 hours?

To determine your total pay for working 47 hours with overtime, we can break it down into regular hours and overtime hours.

1. **Regular Hours Pay**: You work 40 regular hours at your normal rate of $ \$7.50 $ per hour.
\[
\text{Regular Pay} = 40 \times 7.50 = 300 \text{ dollars}
\]

2. **Overtime Pay**: You work 7 overtime hours, and your overtime rate is $ 1.5 $ times your normal rate.
\[
\text{Overtime Rate} = 1.5 \times 7.50 = 11.25 \text{ dollars per hour}
\]
\[
\text{Overtime Pay} = 7 \times 11.25 = 78.75 \text{ dollars}
\]

3. **Total Pay**: Add the regular pay and overtime pay to get the total pay.
\[
\text{Total Pay} = 300 + 78.75 = 378.75 \text{ dollars}
\]

So, you will get paid **$378.75** for working 47 hours.

Would you like any further details or have any questions? Here are some related questions you might consider:

1. How much would you earn if you worked 50 hours in a week?
2. What would your total pay be if your normal rate was increased to $8.00 per hour?
3. How would your total pay change if you worked 60 hours in a week?
4. How much overtime pay would you receive if you only worked 5 overtime hours?
5. What would your total earnings be after working 47 hours for two weeks in a row?
6. If your overtime rate was double your normal rate, how much would you earn for 47 hours?
7. How many hours would you need to work to earn $500 in a week?
8. What is the minimum number of hours you need to work overtime to exceed $400 in total earnings?

**Tip:** When calculating overtime pay, always remember to separate regular hours and overtime hours to apply the correct rate to each.

Learn how to calculate total pay including overtime for working 47 hours at a rate of $7.50 per hour, with detailed step-by-step calculations. This problem covers arithmetic calculations involving regular and overtime pay. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation