You are on a farm that raises cows and chickens. If there are 20 animals total, and the animals have 56 legs in total (assume a standard number of legs for the animals) , how many cows and many chickens are there?

You are on a farm that raises cows and chickens. If there are 20 animals total, and the animals have 56 legs in total (assume a standard number of legs for the animals) , how many cows and many chickens are there?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 60SE: In a bag, a child has 325 coins worth $19.50. There were three types of coins: pennies, nickels, and...

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Expert Solution

Step 1

Number of 4 feeted(cows)animals =

( L - 2H ) /2

Where , L = number of legs

H = number of heads

L = 56

H = 20

So,

Cows = ( 56 - 40 )/2 = 16/2 = 8

Chickens = 20-8 = 12

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