SOLUTION: Is there a strategy which explains the step-by-step procedure for solving algebraic word problems?

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Question 410054: Is there a strategy which explains the step-by-step procedure for solving algebraic word problems?


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

My recommendation would be to follow the following steps:

I.Defining the variable(s), might recommend using x for consistency

 majority of problems can be written in terms of one variable,

 Some require two variables and two equations, rare to see them here.

II.Stating the Question Algebraically

III.Solving for x

IV.CHECKING the Answer***



Example:  a movie was was attended by 212 people. 

Children's tickets were $4 and adult tickets were $8. If the amount from

 tickets sales was $1448, how many children and how many adults attended?



I.Let x and (212-x) represent the number of adult and children's tickets respectively

II.Question states***

 8x + 4(212-x) = 1448

III.Solving for x

     4x = 600

      x = 150, number of adult tickets. 62 children's tickets. (212-150)  

     

Iv.CHECKING our Answer***

    $8*150 + $4*62 =  $1200 + $248 = $1448