# Solving Equations: The Woodchuck

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Information about Solving Equations: The Woodchuck

Published on December 2, 2007

Author: mgolding

Source: slideshare.net

How much wood would a woodchuck chuck if a woodchuck could chuck wood? This woodchuck can chuck 3/4 of a cord of wood per hour. He has chucked 20 cords of wood total. How many hours was he chucking? Write this as an equation where x is the number of hours. 3 4 x = 20 Solve the equation for x. 3 4 x = 20 4 3 · Multiplication principle 4 3 · X = 26 hours 80 3 hours = 2 3

Same woodchuck, different wood pile. Another woodhcuck has kindly donated 7 cords of wood to start our friend off. He can still chuck at 3/4 cord per hour. How many hours will it take our friend to chuck the same 20 cords? Write this as an equation where x is the number of hours. 3 4 x = 20 + 7 Solve the equation for x. 3 4 x = 20 + 7 Addition principle 4 x = 20 - 7 + 7 - 7 3 4 x = 13 3 4 3 · · 4 3 Multiplication principle x = 52 3 hours = 12.33 hours

Our woodchuck friend is very busy! How many hours would it take him to chuck 20 cords of wood if he started off with 2 cord of wood? 7 8 Write this as an equation where x is the number of hours. Solve the equation for x. Use the Addition principle Use the Multiplication principle Rewrite the equation Write the solution

Our woodchuck friend is very busy! How many hours would it take him to chuck 20 cords of wood if he started off with 2 cord of wood? 7 8 Write this as an equation where x is the number of hours. Solve the equation for x. Use the Addition principle Use the Multiplication principle Rewrite the equation Write the solution 3 4 x + 23 8 = 20 3 4 x + 23 8 = 20 3 4 x + 23 8 = 20 23 8 - - 23 8 3 4 x = 137 8 4 3 · 4 3 · x = 548 24 = 28.83 hours Solution

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