Question

A farmer owns a total of 16 chickens and rabbits. The chickens and rabbits have 54 legs altogether. How many rabbits are there?

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

Answer:

There are 11 rabbits

Step-by-step explanation:

Let us analyze the given problem.

What is asked?

The total number of rabbits.

What are the given?

total number of chicken and rabbits - 16

total number of chickens and rabbits' legs - 54

What is the equation?

We have two equations in this problem.

Let a represents the number of chickens.

Let b represents the number of rabbits.

1st Equation:total of 16 chickens and rabbitsa + b = 162nd Equation:54 legs altogetherWe know that chicken has 2 legs and rabbit has 4 legs.2a + 4b = 54Solution:a + b = 162a + 4b = 54To find the total number of rabbits (b), we nees to multiply (-2) to the first equation so we can eliminate (a).(a + b = 16)(-2)= -2a - 2b = -32After multiplying, 2a + 4b = 54 -2a - 2b = -32 2b = 22 2b/2 = 22/2 b = 11Therefore, there are 11 rabbits.For the total number of chickens subtract the number of rabbits from the whole.16 - 11 = 5There are 5 chickens.Checking:Substitute the values.1st Equation:a + b = 165 + 11 = 1616 = 16 ✔2nd Equatio…

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