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ArbitrLikvidat [17]
3 years ago
10

A farmer looks out into the barnyard and sees the pigs and the chickens. He says to his daughter, "I count 153 heads and 346 fee

t. How many pigs and how many chickens are out there?"
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer: There are 133 chickens and 20 pigs.

Step-by-step explanation:

Let x be the number of chickens and y be the number of pigs.

Given : Number of heads of pigs and chicken = 153

Number of feet = 346

Since one chicken has 2 legs and one pig has 4 legs.

By considering the given information, we have the following system of equations:-

x+y=153------(1)\\\\ 2x+4y=346---------(2)

Multiply 2 on both sides of (1), we get

2x+2y=306-----(3)

Subtract (3) from (2), we get

2y=40\\\\\Rightarrow\ y=\dfrac{40}{2}=20

Put value of y in (1), we get

x+20=153\\\\\Rightarrow\ x=153-20=133

Hence, there are 133 chickens and 20 pigs.

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