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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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