Lesson Using system of two equations to solve the problem for the day of April, 1
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<H2>Using system of two equations to solve the problem for the day of April, 1</H2> <H3>Problem 1</H3>You burn approximately 230 calories less per hour if you ride your bike versus go on a run. Lien went on a 2-hour run plus burned an additional 150 calories in his warm up and cool down. Theo went on a 4-Hour bike ride. Lien and Theo burned the same amount of calories on their workouts. Approximately how many calories do you burn in an hour for each type of exercise? <B>Solution</B> <pre> Let B is the number of calories you (actually, "average person") burn per hour riding bike (<U>B</U>ike; B stands for <U>B</U>ike), and let R is the number of calories you (actually, "average person") burn per hour running (<U>R</U>unning; R stands for <U>R</U>unning). Then the condition gives you these two equations R - B = 230, (1) ("You burn approximately 230 calories less per hour if you ride your bike versus go on a run. ") 2R + 150 = 4B (2) ("Lien and Theo burned the same amount of calories on their workouts.") Thus the major part of the solution is just done: the Math model is established. The rest is just arithmetic and techniques. </pre> For me, this problem is good for the day of April, 1, when somebody wants to make other people smile or to be surprised. When I saw this problem for the first time, my first reaction after reading the condition was "it is absurd !". But later, carefully thinking about it, I suddenly found the problem's hidden meaning, and was really happy . . . Therefore, I think it is a good idea to present this unexpected and amazing problem in the lesson under this title ! ----------------------- <H3> April, 1 is an International Fools' day</H3> For further info see this Wikipedia article <pre> https://en.wikipedia.org/wiki/April_Fools%27_Day </pre> My other lessons in this site on solving systems of two linear equations in two unknowns (Algebra-I curriculum) are - <A HREF= http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-system-of-two-eqns-by-the-Subst-method.lesson>Solution of the linear system of two equations in two unknowns by the Substitution method</A> - <A HREF= http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-Elimination-method.lesson>Solution of the linear system of two equations in two unknowns by the Elimination method</A> - <A HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-using-det.lesson>Solution of the linear system of two equations in two unknowns using determinant</A> - 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<A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/One-unusual-problem-to-solve-using-system-of-two-equations.lesson>One unusual problem to solve using system of two equations</A> - <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Non-standard-problem-with-a-tricky-setup-.lesson>Non-standard problem with a tricky setup</A> - <A HREF=https://www.algebra.com/algebra/homework/coordinate/Sometime-one-equations-is-enough-to-find-two-unknowns-by-an-UNIQUE-way.lesson>Sometimes one equation is enough to find two unknowns in a unique way</A> - <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Solving-mentally-word-problems-on-two-equations-in-two-unknowns-NEW.lesson>Solving mentally word problems on two equations in two unknowns</A> - <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Solving-systems-of-non-linear-equations-by-reducing-to-linear-ones.lesson>Solving systems of non-linear equations by reducing to linear ones</A> - 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