Question

A music store has 895 CDs to put in racks. Each rack holds 24 CDs. How many of the CDs cannot be put on the rack?

Answer 1

To determine how many CDs cannot be put on the racks, we first need to find out how many racks can be fully filled with the 895 CDs.

We start by dividing the total number of CDs by the number of CDs each rack can hold:

\[
\text{Number of full racks} = \frac{895}{24}
\]

Calculating this gives:

\[
\frac{895}{24} \approx 37.2916667
\]

This means we can fit 37 full racks of CDs. Now, we need to find out how many CDs fit into these racks:

\[
\text{Total CDs in full racks} = 37 \times 24 = 888
\]

Next, we will find out how many CDs are left over:

\[
\text{Remaining CDs} = 895 - 888 = 7
\]

Therefore, the number of CDs that cannot be put on the rack is:

\[
\boxed{7}
\]