Using the property of ratio and proportion problem is solved. Then Allie can put 240 books on eight shelves.
A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given
Allie builds a new bookcase with 8 shelves.
She can put 30 books on each shelf.
She can put 30 books on one shelf. The x books are on eight shelves. Then according to the ratio and proportion.
[tex]\rm \dfrac{x}{8} = \dfrac{30}{1}\\\\x \ = 8 * 30\\\\x \ = 240[/tex]
Thus, she can put 240 books on eight shelves.
More about the ratio and the proportion link is given below.
https://brainly.com/question/165414