Question

A store sells pencil sets that each contain exactly 15 pencils. The store receives a shipment of 634 pencils.

What is the greatest number of pencil sets the store can sell?

Enter your answer in the box.

pencil sets

Answer 1

To find the greatest number of pencil sets that the store can sell, we need to divide the total number of pencils by the number of pencils in each set.

The store has received 634 pencils, and each set contains 15 pencils.

To calculate the number of pencil sets, we perform the division:

\[
\text{Number of sets} = \frac{\text{Total pencils}}{\text{Pencils per set}} = \frac{634}{15}
\]

Now, we'll perform the division:

\[
634 \div 15 = 42.2667
\]

Since we can only sell whole sets, we take the floor of this division, which means we need only the integer part.

Thus, the greatest number of full pencil sets the store can sell is:

\[
\lfloor 42.2667 \rfloor = 42
\]

Therefore, the greatest number of pencil sets the store can sell is:

\[
\boxed{42}
\]