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A farmer raises chickens and pigs-53 animals in total. When he counted all of the feet this morning he saw 146 feet. How many of each animal are there

HELP ASAP WITH WORK TOO PLEASE

User AmitG
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1 Answer

4 votes

Answer:

Explanation:

You can create a system of equations to solve this problem.

Let C = the number of chickens

Led P = the number of pigs

"A farmer raises chickens and pigs-53 animals in total" translates into the equation C+P=53

If each chicken has 2 feet and each pig has 4 feet, then "he saw 146 feet in the morning" can be written as 2C + 4P = 146

If you solve for C in the first equation (C=53-P) then you can substitute that into the second equation and solve for the number of pigs.

2(53-P) + 4P =146

106 - 2P + 4P = 146 (sub 106 from each side and combine like terms)

2P = 40 (divide both sides by 2)

P = 20.

If we know that there are 20 Pigs, we can plug that information into the first equation to solve for the number of chickens:

C + 20 = 53

C = 33

So there are 20 pigs and 33 chickens.

User Sergey Zabelnikov
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