Calculate Hours from $60 Hourly Rate and $960 Monthly Payment

Q: Why do I divide the monthly payment by the hourly rate?

Think of it this way: if each hour costs $60, then $960 can buy you how many of those $60 chunks? Division tells you how many groups of 60 fit into 960!

Q: What if the division doesn't come out evenly?

In real-world problems, you might get decimal hours like 16.5 hours. This would mean 16 hours and 30 minutes of tutoring time.

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

Use estimation! Since $960 ÷ $60 is like 96 ÷ 6 = 16, your answer should be around 16 hours. If you got 160 or 1.6, something went wrong!

Q: Can I solve this problem backwards to check?

Absolutely! Multiply your answer by the hourly rate: $ 16 \times 60 = 960 $. If you get the original monthly payment, you're correct!

Q: What if the numbers were different but the problem type was the same?

The method stays the same! Always use: Total Amount ÷ Rate per Unit = Number of Units. Works for hours, items, distance, or any rate problem.

Division Problems with Money Applications

Monica pays $60 per hour for private maths lessons and her father pays the teacher $960 a month.

How many hours of tuition does Monica get each month based to her father's payment?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:12 Let's solve a division problem together.

00:16 First, we'll look at the leftmost digit of the divisor.

00:21 Because 9 is smaller than 60, we'll add the next digit and divide.

00:26 Write the answer above, without including the remainder. Make sure it's in the right spot.

00:31 Now, multiply this answer by the divisor.

00:35 Then, subtract this product from the original number.

00:39 Bring down the next digit below and repeat the steps.

00:43 Divide again and write the result above.

00:46 Make sure your answer is positioned correctly.

00:50 Multiply your answer and subtract as before.

00:53 We've reached a remainder of zero!

00:56 And that's how we solved the division problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Monica pays $60 per hour for private maths lessons and her father pays the teacher $960 a month.

How many hours of tuition does Monica get each month based to her father's payment?

Step-by-step solution

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

Step 1: Understand the problem setup and identify given values.
Step 2: Use division to calculate the number of hours of tuition based on the payment from Monica's father.
Step 3: Interpret the result to select the correct answer choice if required.

Now, let's work through each step:

Step 1:
Monica pays $60 per hour for her private maths lessons, and her father pays the teacher $960 each month.

Step 2:
To find out how many hours Monica gets, divide the total payment her father makes per month by the price per hour:

$\text{Number of hours} = \frac{960}{60}$

Step 3:
Perform the division:

$\text{Number of hours} = \frac{960}{60} = 16$

Therefore, Monica receives 16 hours of tuition each month.

The correct answer is $16$ .

Final Answer

$16$

Key Points to Remember

Essential concepts to master this topic

Formula: Hours = Total Monthly Payment ÷ Hourly Rate
Calculation: $\frac{960}{60} = 16$ hours per month
Check: Verify by multiplying: 16 hours × $60/hour = $960 ✓

Common Mistakes

Avoid these frequent errors

Adding or subtracting instead of dividing
Don't add $960 + $60 = $1020 or subtract $960 - $60 = $900! These operations don't solve for hours and give meaningless results. Always divide total payment by hourly rate to find the number of hours.

Practice Quiz

Test your knowledge with interactive questions

FAQ

Everything you need to know about this question

Why do I divide the monthly payment by the hourly rate?

Think of it this way: if each hour costs $60, then $960 can buy you how many of those $60 chunks? Division tells you how many groups of 60 fit into 960!

What if the division doesn't come out evenly?

In real-world problems, you might get decimal hours like 16.5 hours. This would mean 16 hours and 30 minutes of tutoring time.

How can I check if my answer makes sense?

Use estimation! Since $960 ÷ $60 is like 96 ÷ 6 = 16, your answer should be around 16 hours. If you got 160 or 1.6, something went wrong!

Can I solve this problem backwards to check?

Absolutely! Multiply your answer by the hourly rate: $16 \times 60 = 960$ . If you get the original monthly payment, you're correct!

What if the numbers were different but the problem type was the same?

The method stays the same! Always use: Total Amount ÷ Rate per Unit = Number of Units. Works for hours, items, distance, or any rate problem.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime