Question

Mukesh has some goats and hens in his shed. Upon counting, Mukesh found that the total number of legs is

112 and the total number of heads in 40. Find the number of hens in his shed​

Answer 1

Answer:

Let the number of goat is g

and number of hen is h

A/q

counting head

g+h = 40___(1)

counting legs

and 4g +2h = 112

⇒2g +h = 56___(2)

subtracting (1) and (2),we get

g = 16

so, h = 40-16 = 24

∴number of goat is 16 and number of hen is 24

Step-by-step explanation:

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Answer 2

Answer:

Number of hens in shed is 24 hens.

Step-by-step explanation:

Given that :

• Total number of legs = 112
• Total number of heads = 40

To find :

• Number of hens in the shed

Solution :

• Let the number of goats in the shed be g and the number of hens in the shed be h.
• Since, each hen has 2 legs and each goat has 4 legs.
• Total number of legs of all hens is 2h and Total number of legs of all goats is 4g.
• Total legs in the shed = Total number of legs of all hens + Total number of legs of all goats

$112 = 2h + 4g \: \: - - - (1)$

• Total number of heads in shed = total head of hens + total head of goats.

$40 = h + g \: \: ---(2)$

• Now, multiplying equation (2) by 4, we get;

$160 = 4h + 4g \: \: ----(3)$

• Subtracting equation (1) from equation (3), we get;

$( 4h + 4g) - (2h + 4g) = (160 - 112) \\ (4h - 2h) + (4g- 4g) = 48 \\2 h = 48 \\ h = 24$

• Hence, number of hens in the shed is 24.