Question

Eloise removes some books from a cabinet. The books have different thicknesses. This line plot shows the thickness of each book. She makes a stack of four books with the two thinnest books and the two thickest books.
How thick is the stack?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer 1

Answer:

The stack is 3 1/2 inches thick.

Step-by-step explanation:

According to the line plot shown in the image attached, the thinnest book is 1/2 inches, and the thickest book is 1 1/4 inches.

We know that the stack is formed by 2 thinnest books and 2 thickest books. We need to just sum fractions to find the thick of the stack

$Stack = \frac{1}{2}+\frac{1}{2}+1\frac{1}{4} +1\frac{1}{4}$

We need to transform from mixed number to fraction

$Stack = 1 + \frac{5}{4} + \frac{5}{4} =1+\frac{10}{4}+\frac{4+10}{4}=\frac{14}{4}\\ Stack=3\frac{1}{2} \ in$

Therefore, the stack is 3 1/2 inches thick.