Answer:
You would expect 114 squirrels to be tagged out of 456.
Step-by-step explanation:
To find the ratio of squirrels tagged in 456 squirrels, let's use what we know.
[tex]\frac{24}{96}[/tex] is the fraction of squirrels that we do know.
Let's set this fraction equal to another fraction,
[tex]\frac{24}{96} = \frac{x}{456}[/tex]
We put x in the numerator spot of the second fraction since we do not know how many squirrels will be tagged.
Now let's solve for x:
Cross multiply the fractions by multiplying 24 by 456 and x by 96.
[tex]96x=10,944[/tex]
Now divide both sides by 96 to get x by itself.
[tex]\frac{96x}{96} =\frac{10,944}{96}[/tex]
Simplify to get your answer.
[tex]x=114[/tex]
