Solving Problems With Equations

Solving Problems With Equations-85
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. This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation.

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How long would it take to fill the pool if both pipes were accidentally left open?

Step 1: A problem involving work can be solved using the formula , where T = time working together, A = the time for person A working alone, and B = the time for person B working alone.

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. Example 2 – Tom and Jerry have to stuff and mail 1000 envelopes for a new marketing campaign. If Tom helps, they can get the job done in 4 hours.

Identifying and solving equivalent equations is a valuable skill, not only in algebra class, but also in everyday life.

Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom.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.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.Here is a graphic preview for all of the Word Problems Worksheets.You can select different variables to customize these Word Problems Worksheets for your needs. Two step algebraic equations are relatively quick and easy -- after all, they should only take two steps.Example 1 – Walter and Helen are asked to paint a house.Recognizing these equations are equivalent is great, but not particularly useful.Usually an equivalent equation problem asks you to solve for a variable to see if it is the same (the same root) as the one in another equation.wiki How is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. To solve a two step algebraic equation, all you have to do is isolate the variable by using either addition, subtraction, multiplication, or division.To create this article, 102 people, some anonymous, worked to edit and improve it over time. If you want to know how to solve two step algebraic equations in a variety of ways, just follow these steps.

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