To determine how many bookcases are needed to hold 240 books, we can first find out how many books one bookcase can hold.
Each bookcase has 4 shelves, and each shelf holds 20 books.
We can calculate the total number of books one bookcase can hold with the following number sentence:
\[ \text{Books per bookcase} = \text{Shelves per bookcase} \times \text{Books per shelf} \] \[ = 4 \times 20 = 80 \text{ books per bookcase} \]
Now we need to find out how many bookcases are required to hold 240 books. We can set up another number sentence for this:
\[ \text{Number of bookcases} = \frac{\text{Total books}}{\text{Books per bookcase}} = \frac{240}{80} \]
Calculating this gives:
\[ \frac{240}{80} = 3 \]
Therefore, 3 bookcases are needed to hold 240 books.