Question

The Byrds. You have 16 new CDs to put on your empty five-shelf CD rack. Can you place the CDs so that each shelf contains three or fewer CDs? Can you arrange them so that each shelf contains exactly three?

Answer 1

Answer:

1. No we cannot place the CDs in such a manner that each shelf contains three or fewer CDs
2. No We cannot arrange them so that each shelf contains exactly three

Step-by-step explanation:

In this question we have given

Total number of CDs to put on empty shelf CD rack=16

Number or shelf in a CD rack=5

part 1:

Can you place the CDs so that each shelf contains three or fewer CDs

Answer:

No we cannot place the CDs in such a manner that each shelf contains three or fewer CDs because there are 16 CDs which we have to keep in 5 shelf so each shelf will contains at least 3 CDs and one shelf will contains 4 CDs(Because=$\frac{16}{5}= 3.2$). If we place 3 or less CDs in each shelf than 15 or less than 15 CDs can be kept in all the 5 shelf

Part 2

Can you arrange them so that each shelf contains exactly three?

Answer :

No We cannot arrange them so that each shelf contains exactly three if we do so than 1 CD will be remain outside the shelf as $5\times 3=15$

Answer 2

If each shelf is to contain exactly 3 new CDs and there are only 5 shelves, only 15 can be placed in the rack. So, the answer to the second question is no. The same goes for the first question as placing 3 or fewer CDs to the shelves will make the rack insufficient for the CDs.