# Equation And Problem Solving

One of those tools is the division property of equality, and it lets you divide both sides of an equation by the same number. Then, you'll see how to solve and check your answer.

Tags: Fast Food Restaurant Business PlanCover Letter Research Assistant Molecular BiologyOwl Purdue Thesis DevelopmentMy College Experience EssayWriting A Research Paper PdfAny Research ProposalUnf Admissions Essay

Example 1 – Walter and Helen are asked to paint a house.

Walter can paint the house by himself in 12 hours and Helen can paint the house by herself in 16 hours.

Using a Formula is a problem-solving strategy that students can use to find answers to math problems involving geometry, percents, measurement, or algebra.

To solve these problems, students must choose the appropriate formula and substitute data in the correct places of a formula.

Justin can complete the project by himself in 6 hours, Jason can complete the project by himself in 9 hours, and Jacob can complete the project by himself in 8 hours.

How long would it take the triplets to complete the project if they work together?The equations are generally stated in words and it is for this reason we refer to these problems as word problems. If the two parts are in the ratio 5 : 3, find the number and the two parts. With the help of equations in one variable, we have already practiced equations to solve some real life problems. Solution: Let one part of the number be x Then the other part of the number = x 10The ratio of the two numbers is 5 : 3Therefore, (x 10)/x = 5/3⇒ 3(x 10) = 5x ⇒ 3x 30 = 5x⇒ 30 = 5x - 3x⇒ 30 = 2x ⇒ x = 30/2 ⇒ x = 15Therefore, x 10 = 15 10 = 25Therefore, the number = 25 15 = 40 The two parts are 15 and 25. Then Robert’s father’s age = 4x After 5 years, Robert’s age = x 5Father’s age = 4x 5According to the question, 4x 5 = 3(x 5) ⇒ 4x 5 = 3x 15 ⇒ 4x - 3x = 15 - 5 ⇒ x = 10⇒ 4x = 4 × 10 = 40 Robert’s present age is 10 years and that of his father’s age = 40 years. In this case, there are three people so the equation becomes: Step 2: Solve the equation created in the first step.This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 3 – One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.How long would it take to fill the pool if both pipes were accidentally left open?For example: Math problems requiring formulas can be simple, with few criteria needed to solve them, or they can be multidimensional, requiring charts or tables to organize students' thinking.Including more than one formula in a problem, or having multiple correct answers to a problem will help stretch this strategy.This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 4 – One roofer can put a new roof on a house three times faster than another. How long would it take the faster roofer working alone?This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 5 – Triplets, Justin, Jason, and Jacob are working on a school project.

## Comments Equation And Problem Solving

• ###### Word Problems on Linear Equations Equations in One.
Reply

Worked-out word problems on linear equations with solutions explained step-by-step in different. Steps involved in solving a linear equation word problem…

• ###### Problem-Solving Strategy Write an Equation
Reply

Problem-Solving Strategy Write an Equation. There are 5 children in the Jackson family—Ben, Kendra, Abby, Craig, and Susan. Ben is twice as old as Kendra.…

• ###### Step-by-Step Math Problem Solver
Reply

QuickMath allows students to get instant solutions to all kinds of math problems, from algebra and equation solving right through to calculus and matrices.…

• ###### Problem Solving Creating Equations From Word Problems.
Reply

Once you can create and solve equations, word problems are a breeze. This activity will teach students how to solve complex word problems with equations.…

• ###### Solving Multi-Step Equations
Reply

This is a multi-step equation, one that takes several steps to solve. Problem. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with.…

• ###### Word Problems Equations And Inequalities Siyavula
Reply

To solve word problems we need to write a set of equations that represent the problem mathematically. The solution of the equations is then the solution to the.…

• ###### The 5 Steps of Problem Solving - Quick and Dirty Tips
Reply

Dec 30, 2016. Do you ever find yourself stuck on math problems before you even get. to turn a word problem into an algebraic equation and then solve it.…

• ###### Sample Math 101 Test Problems - WSU Math Department
Reply

Sample problems are under the links in the "Sample Problems" column and the corresponding review material is under the. Solving Linear Equations.…

• ###### Kinematic Equations and Problem-Solving - The Physics.
Reply

In the above equations, the symbol d stands for the displacement of the object. The symbol t stands for the time for which the object moved. The symbol a stands.…