Solving Word Problems With Linear Equations

Solving Word Problems With Linear Equations-62
Let x represent the cost of an adult ticket and y represent the cost of a child ticket. If we add the adult tickets and children tickets together, we will have a total.I know how difficult it is to not only learn the skill, but then to be able to apply the skill.The sum of three consecutive multiples of 8 is 888.

Let x represent the cost of an adult ticket and y represent the cost of a child ticket. If we add the adult tickets and children tickets together, we will have a total.I know how difficult it is to not only learn the skill, but then to be able to apply the skill.

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x = 368x = 8(36) = 2888(x 1) = 8(36 1) = 8(37) = 2968(x 2) = 8(36 2) = 8(38) = 304So, the three consecutive multiples of 8 are 288, 296, and 304.

Four years later the sum of their ages will be 56 years.

As you are reading and analyzing the word problem, if you find that you can set up an addition problem, and you have a set total (constant), then you will be able to write an equation in standard form. Your school is sponsoring a pancake dinner to raise money for a field trip. Therefore, it will be C in your standard form equation.

You estimate that 200 adults and 250 children will attend. We also know that in order to find our total, we need to multiply the number of people by the cost of the ticket.

Then, we have 100x 25(63 - x) = 3000100x 1575 - 25x = 300075x 1575 = 300075x = 1425Divide each side by 75.x = 19So, the number of winners is 19.

To be solved, a word problem must be translated into the language of mathematics, where we use symbols for numbers - known or unknown, and for mathematical operations.Play by ear: pay attention to those small modifications that do not distort the of the problem.As an example, let's start with one of the simplest problems.Within this E-course, you will find a lot of word problems that will not only help as you study for your tests, but that will also help you in real-life situations. Let x represent the number of hot dogs sold and y represent the number of sodas sold. We know that our total for the end of the night was 0; therefore, it is our constant (C) in the equation.Often times, text book word problems are pretty "far out"; however Algebra Class word problems are more realistic and easy to relate to every day living. You are running a concession stand at the basketball game. We also have information for the price of the hot dogs and the price of the sodas.When all is said and done, a word problem, stripped from inessential details, translates into one or more mathematical equations of one kind or another.After the equations have been solved, the result can be translated back into the ordinary language. Mathematical formulation contains only what is important in a problem.// information pieces start with '@', followed by // a single letter from , followed by ": ".// v - variable - anything that may change on a click // variables must precede all other pieces // f - formulation - word problem with embedded variables.Nor is it important whether they owned, or bought, or had the goods in question. What is essential is that the problem is concerned with three quantities, two of which add up to the third one. It appears that the problem belongs to a whole class of similar problems: all problems in that class translate in the mathematical language into equation (1).Equation (1), in turn, also affords several observations.

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