Arturo's farm has different animals: turkeys, cows, roosters, chickens and rabbits. Help him determine the exact number of animals he has on his farm, taking into account the Following data: - The sum of turkeys and cows is 145 and their legs add up to 410 in total. - To feed the chickens and roosters, 105 kilograms of food are used, of which it is known that each rooster eats 0.250 kg and the hens eat double this amount. - You have one rooster for every three hens. - Finally, it is thought that a third of the rabbits on the farm are found in the place where the cows eat, which means that there are twice as many animals in the cows' feeder. Based on the information above, answer the following questions and justify your results. a) What is the number of cows and turkeys on the farm? b) What is the number of roosters and chickens? c) What is the number of rabbits? d) Represent, using a graph, the equation you used to determine the number of rabbits on the farm. e) What is the total number of animals on Arturo's farm?

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 68SE: The top three oil producers in the United States in a certain year are the Gulf of Mexico, Texas,...
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Arturo's farm has different animals: turkeys, cows, roosters, chickens and rabbits. Help him determine the exact number of animals he has on his farm, taking into account the Following data: - The sum of turkeys and cows is 145 and their legs add up to 410 in total. - To feed the chickens and roosters, 105 kilograms of food are used, of which it is known that each rooster eats 0.250 kg and the hens eat double this amount. - You have one rooster for every three hens. - Finally, it is thought that a third of the rabbits on the farm are found in the place where the cows eat, which means that there are twice as many animals in the cows' feeder. Based on the information above, answer the following questions and justify your results. a) What is the number of cows and turkeys on the farm? b) What is the number of roosters and chickens? c) What is the number of rabbits? d) Represent, using a graph, the equation you used to determine the number of rabbits on the farm. e) What is the total number of animals on Arturo's farm?
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