SOLUTION: An Algebra I test contains 40 questions. Some of the questions are worth 4 points each, and some are worth 2 points each. The total test is worth 100 points. Let f represent the nu

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Question 452137: An Algebra I test contains 40 questions. Some of the questions are worth 4 points each, and some are worth 2 points each. The total test is worth 100 points. Let f represent the number of questions worth 4 points and t, the number of questions worth 2 points.
Which equation represents the total points possible for the test?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 

Hi,

40 questions

Some of the questions are worth 4 points each, and some are worth 2 points each

The total test is worth 100 points.

 Let f represent the number of questions worth 4 points 

and t, the number of questions worth 2 points.

Which equation represents the total points possible for the test?

  4f + 2t = 100

For ex:

Let x and (40-x) represent f and t respectively:

 4x + 2(40-x) = 100

     2x = 20

      x = 10, the number of 4pt questions.  There are 30 2-pt questions (40-20)

4*10 + 2*30 = 100 pts