A farmer has only goats and hens in his farm,on a particular day,he sold 12 animals (goats and hens) and the total number of the

Question

2 years ago

6

ir legs was 32. how many goats and how many hens did he sell that day?

1 answer:

saw5 [17] · Answer 1 · 2023-07-02T19:54:07+03:00

The number of goats sold is 4 and hens sold is 8.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement which equates two algebraic expression with an equal sign.

Let the total number of goats sold be g

Let the total number of hens sold is h

g + h = 12

The total no. of legs of a goats sold will be 4g

and the total number of legs of a hens sold will be 2h

and it is given that

4g +2h = 32

The system of equation formed is

g + h = 12

4g +2h = 32

Multiplying equation (1) by 2 and then (1) - (2)

-2g = -8

g = 4

Therefore the number of goats sold is 4 and hens sold is 8.

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