Answer:
- The height of the other book is 2 3/4 inches.
Step-by-step explanation:
From the information,we get:
Two stacks of books together are = 7 1/2 inches tall.
One stack is given,that is = 4 3/4 inches.
To Find:
Solution:
Let us assume that the other height of the book be x.
Then the equation will be:
[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]
- Solve for x to get the other book's height.
Convert the mixed fractions to fractions:
[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]
Subtract 19/4 from both sides:
[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]
[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]
Hence, we can conclude that:
The height of the other book is 2 3/4 inches.
