Answer:
Fraction of animals that are kittens at the shelter is [tex]\frac{5x}{12}[/tex] where “x” represents the number of animals.
Solution:
Let the number of animals be ‘x’. We have to find out what fraction of animals at the shelter are kittens.
It is given that of the animals, 5/8 are cats which means the number of cats = [tex]\frac{5x}{8}[/tex]
Now it is given that number of kittens are 2/3 of the cats
Number of cats = [tex]\frac{5x}{8}[/tex]
Number of kittens = 2/3 of [tex]\frac{5x}{8}[/tex]
Number of kittens = 2/3 [tex]\times[/tex] [tex]\frac{5x}{8}[/tex]
Number of kittens = [tex]\frac{10x}{24}[/tex] = [tex]\frac{5x}{12}[/tex]
Thus fraction of animals that are kittens at the shelter is [tex]\frac{5x}{12}[/tex] where “x” represents the number of animals.
