After visiting her grandfather's farm. Maria also stopped at her uncle Pol' farm. Uncle Pol has only ducks and cows. He can't remember how many of each he has, but he doesn't need to remember because he knows he has 27 animals and that 22 is also his age. He also knows that the animals have a total of 56 legs, because 56 is also his father's age. Assuming that each animal has all legs intact and no more, how many each animal does Uncle Pol have?
Answer (1)
Answer:Uncle Pol has 26 ducks and 1 cow. Step-by-step explanation:analysis: This is a word problem that can be solved using a system of equations. We know the total number of animals and the total number of legs. We can use this information to set up two equations and solve for the number of ducks and cows.step_1: Let x be the number of ducks and y be the number of cows. We know that the total number of animals is 27, so we can write the equation: x + y = 27step_2: We also know that the total number of legs is 56. Ducks have 2 legs and cows have 4 legs, so we can write the equation:2x + 4y = 56step_3: Now we have a system of two equations with two unknowns. We can solve for x and y using substitution or elimination. Let's use elimination. Multiply the first equation by -2:-2x - 2y = -54step_4: Add this equation to the second equation:2x + 4y = 56-2x - 2y = -542y = 2step_5: Solve for y:y = 1step_6: Substitute y = 1 into the first equation:x + 1 = 27step_7: Solve for x:x = 26answer: Uncle Pol has 26 ducks and 1 cow.
