SOLUTION: I need help setting up the following word problem with a system of equations that can be used to solve the problem. An exam worth 136 points contains 50 questions. Some of the q

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Question 818981: I need help setting up the following word problem with a system of equations that can be used to solve the problem.
An exam worth 136 points contains 50 questions. Some of the questions are worth 2 points and some are worth 5 points. How many 2 point questions are on the test? How many 5 point questions are on the test?
Thank you.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

An exam worth 136 points contains 50 questions. 

green%28x%29 of the questions are worth 2 points and 50-+green%28x%29are worth 5 points.

Question states***

 2x + 5(50-x) = 136

 2x + 250 - 5x = 136

      114 = 3x

       38= x

    38 (2-pointers) and 12 (5-pointers)



  CHECKING our answer***

  76 + 60 = 136