Library Book Count and Relationships

Mr. Nadler explains a multi-step problem involving the calculation of different types of books in a library. The problem is set up using tape diagrams and algebraic equations to find the number of fiction, non-fiction, and resource books. The relationships between these book types are explored, and the solution is verified through calculations and a table setup.

What is the total number of books Mr. Marker needs to reorganize?

• 1,800

• 1,600

• 1,400

• 1,200

How many times more fiction books are there compared to resource books?

• Three times

• Twice

• Four times

• Five times

What variable is used to represent the number of resource books?

• R

• N

• F

• B

What is the equation used to find the total number of books?

• R + 3R + 2R = 1400

• R + 4R + 3R = 1400

• R + 5R + 2R = 1400

• R + 4R + 2R = 1400

How many resource books are there in the library?

• 250

• 100

• 150

• 200

How many fiction books are in the library?

• 600

• 700

• 800

• 900

How many non-fiction books are in the library?

• 500

• 400

• 600

• 300

Does the library have four times as many fiction books as resource books?

• Yes

• No

• Sometimes

• Not enough information

Does the library have half as many non-fiction books as fiction books?

• No

• Yes

• Not enough information

• Sometimes

What is the total number of books in the library?

• 1,400

• 1,300

• 1,500

• 1,200