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

Division Problems with Money Applications

Monica pays 60perhourforprivatemathslessonsandherfatherpaystheteacher60 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?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Let's start by dividing the leftmost digit in the divisor
00:07 9 is less than 60, so we'll add the next digit and then divide
00:10 Write the result without remainder above, pay attention to the position
00:13 Now multiply the result by the divisor
00:17 Subtract the product from the number
00:22 Now bring down the next digit below and use the same steps
00:26 Divide
00:29 Write the result without remainder above, pay attention to the position
00:32 Multiply the result and subtract
00:37 We got a remainder of 0
00:42 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Monica pays 60perhourforprivatemathslessonsandherfatherpaystheteacher60 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?

2

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 60perhourforherprivatemathslessons,andherfatherpaystheteacher60 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:

Number of hours=96060 \text{Number of hours} = \frac{960}{60}

Step 3:
Perform the division:

Number of hours=96060=16 \text{Number of hours} = \frac{960}{60} = 16

Therefore, Monica receives 16 hours of tuition each month.

The correct answer is 16 16 .

3

Final Answer

16 16

Key Points to Remember

Essential concepts to master this topic
  • Formula: Hours = Total Monthly Payment ÷ Hourly Rate
  • Calculation: 96060=16 \frac{960}{60} = 16 hours per month
  • Check: Verify by multiplying: 16 hours × 60/hour=60/hour = 960 ✓

Common Mistakes

Avoid these frequent errors
  • Adding or subtracting instead of dividing
    Don't add 960+960 + 60 = 1020orsubtract1020 or subtract 960 - 60=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

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216

FAQ

Everything you need to know about this question

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

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Think of it this way: if each hour costs 60</strong>,then60</strong>, 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?

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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?

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Use estimation! Since 960÷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?

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Absolutely! Multiply your answer by the hourly rate: 16×60=960 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?

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

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