Each sheep has 4 legs and each chicken has 2 legs. If a farm boy counts 50 heads and 140 feet, how many sheep are there?

1. 30 sheep
2. 20 sheep
3. 10 sheep

Answer:

20

Step-by-step explanation:

H+S=50

2H+4S=140

4H+4S=200

4H+4S=200-

2H+ 4S =140

2H=60

H=30

50-30=20

Given:

Each sheep has 4 legs and a chicken has 2 legs.

A farm boy counts total heads = 50

And number of legs = 140

To Find:

Number of sheep.

Solution:

Let the number of sheep in the farm = s

And the number of chicken in the farm = h

If the total number of heads = 50

s + h = 50 ------- (1)

If the total number of the legs = 140

Number of legs of 's' sheep = 4s

Number of legs of 'h' chicken = 2h

Therefore, 4s + 2h = 140

2s + h = 70 -------(2)

Subtract equation (1) from equation (2),

(2s + h) - (s + h) = 70 - 50

s = 20

Therefore, 20 sheep are in the farm.

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