Question

Cory saw 27 animals in the woods. two-thirds of them were insects. one-third of the insects were ants. the rest of the insects were flies. cory saw two times as many squirrels as rabbits. cory also saw a family of deer: a buck, a fawn, and a doe. how many of each animal did cory see?

Answer 1

Number of ants = 6

Number of flies = 12

Number of buck = 1

Number of fawn = 1

Number of doe = 1

Number of squirrels = 3

Number of rabbit = 6

What is the number system?

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

A system for representing numbers is called a number system. It also defines a set of numbers to represent a quantity and is referred to as the system of numeration.

Given,

Total number of animals Cory saw = 27

Number of insects = $27 \times \frac{2}{3}$

                               $= 18$

Remaining number of animals = $27-18$

                                                   = $9$

From the insects-

Number of ants = $18 \times \frac{1}{3}$

                          $=6$

Number of flies = $18-6$

                          = $12$

Number of buck  = 1

Number of fawn = 1

Number of doe = 1

Let the number of squirrels be $x$

Then, the number of rabbits = $2x$

Remaining animals = $2x+x$

⇒ $9=3x$

⇒ $x= 3$

Therefore,

Number of squirrels = 3

Number of rabbits = $2x$

                               = 6

To know more about the number system.........

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