Long Division: Worded problems

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 $16$.

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, $3,000$, and the number of libraries, $120$.
Step 2: We'll use the formula: $\text{Books per library} = \frac{3000}{120}$.
Step 3: Perform the calculation: $3000 \div 120 = 25$.

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

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

• Step 1: Identify the given information: Total distribution amount is $2,496, the number of grandchildren is 16.
• Step 2: Use the division formula to find the amount each grandchild receives.
• Step 3: Perform the calculation.

Now, let's work through each step:

Step 1: We know that the total amount to distribute is $2,496, and there are 16 grandchildren.

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

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

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

$2496 \div 16 = 156$.

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