Michael keeps dogs, cows, cats and kangaroos as pets. pets in total and that 1/8 of them are dogs, 3/4 are NOT cows, 2/3 are NOT cats.
kangaroos does Michael keep?

The question above is incomplete.

Complete Question

Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?

7 kangaroos

Step-by-step explanation:

Total number of pets = 24

Fraction representing total number of pets = 1

Step 1

Number of dogs =

Fraction representing dog = 1/8

1/8 × 24 = 3

He has 3 dogs

Step 2

Number of cows =

From the question, we are told that 3/4 are not cows

Therefore, the number of cows he has =

1 - 3/4 = 1/4

The fraction representing cows = 1/4

Hence the number of cows he has =

1/4 × 24 = 6 cows

Step 3

From the question, we are also told that

2/3 are not cats

The fraction representing the number of cats he has=

1 - 2/3 = 1/3

Therefore, the number of cats he has =

1/3 × 24 = 8 cats.

Step 4

How many kangaroos does Michael keep?

We are asked, how many kangaroos he keeps.

Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos

24 = 3 + 6 + 8 + Number of kangaroos

Number of kangaroos = 24 -(3 + 6 + 8)

= 24 - 17

= 7

Therefore, the number of kangaroos that Michael has is 7 kangaroos