The total number of dogs in a farm is 10.
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question.
Total number of legs = 50
The total number of animals in a farm = 15
Let the total number of dogs be x.
⇒ Total number of legs of x dogs = 4x
Also, Total number of legs of all chickens = 2(15 - x)
Since, dogs have four legs and chickens have 2 legs.
So, according to the given situation we have a linear equation in one variable
[tex]2(15-x)+4x = 50[/tex]
For finding the number of dogs we have to find the value of x for the above linear equation in one variable.
Therefore,
[tex]2(15-x)+4x = 50[/tex]
[tex]\implies 30 - 2x + 4x = 50[/tex]
[tex]\implies 30 +2x = 50[/tex]
[tex]\implies 2x = 50 -30[/tex]
[tex]\implies 2x = 20[/tex]
[tex]\implies x = \frac{20}{2}[/tex]
[tex]\implies x = 10[/tex]
Therefore, the total number of dogs in a farm is 10.
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