Q. 3 PT - Algebra 1

Question

Drew currently has 31 comic books in his collection. His friend Connor has 58 comic books. How many more comic books does Drew need to add to his collection in order to have a larger collection than Connor?

A no more than 21

B 27

C at least 28

D more than 30

Step-by-Step Solution

Answer

Drew need to add at least 28 books to his collection in order to have a larger collection than Connor. Therefore, option C is correct.

Step 1. Write the inequality for the given problem.

It is given that Drew has 31 books and Connor has 58 books.

Let $x$ be the number of books that Drew need to add to his collection in order to have a larger collection than Connor.

Therefore, the inequality for the given problem is:

$31+x>58$

Step 2. Solve the inequality 31 + x > 58 .

The solution of the inequality $31+x>58$ is:

 $\begin{array}{c}31+x>58\\ 31+x-31>58-31\\ 31-31+x>27\\ x>27\end{array}$

The solution of the inequality $31+x>58$ is $x>27$.

Therefore, the value of $x$ must be greater than 27 that is value of $x$ is at least 28.

Therefore, Drew need to add at least 28 books to his collection in order to have a larger collection than Connor. Therefore, option C is correct.