Question

Q.5. Joseph has a small library at home that currently has 50 books. Each week, his family buys

him five books to add to the library. Which inequality can be used to find w, the number
of weeks when Joseph will have more than 125 books?
A. 50w +5 > 125
B. 5w+50 > 125
C. 50w +5 < 125
D. 5w+50 < 125

Answer 1

To solve this problem, we need to set up an inequality that represents the situation where Joseph will have more than 125 books.

Let w be the number of weeks.

At the end of w weeks, Joseph will have 50 + 5w books (since he adds five books to his library every week).

To find the inequality that represents having more than 125 books, we can set up the following equation:

50 + 5w > 125

Simplifying this inequality:

5w > 75

w > 15

Therefore, the inequality that represents the situation where Joseph will have more than 125 books is:

5w + 50 > 125

The answer is B.