Calculate Hourly Wage: $6000 Salary ÷ 150 Hours Problem

Q: Why do I divide salary by hours and not the other way around?

We want to find dollars per hour, so salary goes on top! Think of it as "How much money for each hour?" - this means dividing the total money by the number of hours.

Q: How can I check if my answer makes sense?

Use the reverse calculation: multiply your hourly wage by the total hours. If you get back the original salary, you're correct! Also ask yourself: "Does this wage seem reasonable?"

Q: What's the difference between salary and hourly wage?

Salary is the total amount paid for a period (like $6000 for April). Hourly wage is the rate per hour (like $40/hour). The salary divided by hours worked gives the hourly wage.

Q: Can I use a calculator for this division?

Absolutely! For problems like $ \frac{6000}{150} $, a calculator ensures accuracy. But try to estimate first - 6000 ÷ 150 should be around 40 since 150 × 40 = 6000.

Division Applications with Salary Calculations

Tatiana worked 150 hours in April and received a salary of $6000.

What is Tatiana's hourly wage?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:08 Let's figure out Tal's hourly wage.

00:11 First, the number of hours Tal worked according to the data.

00:16 Next, Tal's monthly salary, also from the data.

00:19 We'll use X to represent Tal's hourly wage.

00:24 So, X times the number of hours equals Tal's salary.

00:28 Let's solve for X by isolating it.

00:31 Simplify what we can, step by step.

00:35 And there you have it! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Tatiana worked 150 hours in April and received a salary of $6000.

What is Tatiana's hourly wage?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the formula for calculating the hourly wage.
Step 2: Substitute the given values into this formula.
Step 3: Perform the division to find the hourly wage.

Let's work through these steps in detail:
Step 1: The formula we will use is: $\text{Hourly Wage} = \frac{\text{Total Salary}}{\text{Total Hours Worked}}$

Step 2: We substitute Tatiana's total salary and total hours worked into this formula: $\text{Hourly Wage} = \frac{6000}{150}$

Step 3: Calculate the division to determine the hourly wage: $\text{Hourly Wage} = 40$

Therefore, Tatiana's hourly wage is $\$40$ .

Upon reviewing the multiple-choice answers, the correct choice is option 1, which states the hourly wage is 40.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Hourly wage equals total salary divided by total hours
Technique: Calculate $\frac{6000}{150} = 40$ using division
Check: Multiply hourly wage by hours: 40 × 150 = $6000 ✓

Common Mistakes

Avoid these frequent errors

Dividing hours by salary instead of salary by hours
Don't calculate 150 ÷ 6000 = 0.025! This gives you hours per dollar, not dollars per hour. Always divide the total amount earned by the time worked to find the rate per unit of time.

Practice Quiz

Test your knowledge with interactive questions

Sarah pays $1 for every hour of air conditioning she operates. Last month she paid 180$.

Write an equation to find out how many hours the air conditioner was on that month.

FAQ

Everything you need to know about this question

Why do I divide salary by hours and not the other way around?

We want to find dollars per hour, so salary goes on top! Think of it as "How much money for each hour?" - this means dividing the total money by the number of hours.

What if the division doesn't come out to a whole number?

That's totally normal! Hourly wages can be decimals like $12.50 or $18.75. Just make sure to round to the nearest cent (two decimal places) for real money situations.

How can I check if my answer makes sense?

Use the reverse calculation: multiply your hourly wage by the total hours. If you get back the original salary, you're correct! Also ask yourself: "Does this wage seem reasonable?"

What's the difference between salary and hourly wage?

Salary is the total amount paid for a period (like $6000 for April). Hourly wage is the rate per hour (like $40/hour). The salary divided by hours worked gives the hourly wage.

Can I use a calculator for this division?

Absolutely! For problems like $\frac{6000}{150}$ , a calculator ensures accuracy. But try to estimate first - 6000 ÷ 150 should be around 40 since 150 × 40 = 6000.

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