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Feliz [49]
3 years ago
6

A young boy has 40 total pets. He has two different types of pets. He has cats and penguins. The total number of the heads of hi

s pets plus all the wings equals the total number of feet of his pets. How many cats and how many penguins are there?
Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

He has 30 penguins and 10 cats.

Step-by-step explanation:

Let's define the variables:

C =  number of cats.

P = number of penguins.

We know that he has a total of 40 pets, then:

C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

(40 + 2*P) - 2*P = 4*C + 2*P - 2*P

40 = 4*C

Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

P + C = 40

to find the value of P

P + 10 = 40

P = 40 - 10 = 30

P = 30

He has 30 penguins.

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