Examples with solutions for Long Division: Worded problems

Exercise #1

A government purchases 3,000 mathematics books and distributes them to 120 libraries.

How many books does each library receive?

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given information.
  • Step 2: Apply the division formula.
  • Step 3: Perform the division calculation.

Now, let's work through each step:
Step 1: The problem gives us the total number of books, 3,0003,000, and the number of libraries, 120120.
Step 2: We'll use the formula: Books per library=3000120\text{Books per library} = \frac{3000}{120}.
Step 3: Perform the calculation: 3000÷120=253000 \div 120 = 25.

Therefore, the solution to the problem is 25 25 , which means each library receives 25 books.

Answer

25 25

Exercise #2

Sebastian has 16 grandchildren and each month he distributes among them a total of $2,496.

How much does each grandchild receive each month?

Video Solution

Step-by-Step Solution

To solve this problem, we'll proceed with the following steps:

  • Step 1: Identify the given information: Total distribution amount is 2,496,thenumberofgrandchildrenis16.</li><li>Step2:Usethedivisionformulatofindtheamounteachgrandchildreceives.</li><li>Step3:Performthecalculation.</li></ul><p>Now,letsworkthrougheachstep:</p><p>Step1:Weknowthatthetotalamounttodistributeis2,496, the number of grandchildren is 16.</li> <li>Step 2: Use the division formula to find the amount each grandchild receives.</li> <li>Step 3: Perform the calculation.</li> </ul> <p>Now, let's work through each step:</p> <p>Step 1: We know that the total amount to distribute is 2,496, and there are 16 grandchildren.

    Step 2: We use the formula x=Total AmountNumber of Grandchildren x = \frac{\text{Total Amount}}{\text{Number of Grandchildren}} .

    Step 3: Plug in the numbers: x=249616 x = \frac{2496}{16} .

    When we divide 2496÷16 2496 \div 16 , we get:

    2496÷16=156 2496 \div 16 = 156 .

    Therefore, each grandchild receives \156 \) every month.

Answer

\( 156

Exercise #3

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?

Video Solution

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 .

Answer

16 16