SOLUTION: Your math test has 38 questions and is worth 200 points. The test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. How man

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Question 715119:
Your math test has 38 questions and is worth 200 points. The test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. How many of each type of question are there?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=38
X=38-Y
4X+20Y=200
4(38-Y)+20Y=200
152-4Y+20Y=200
16Y=200-152
16Y=48
Y=48/16
Y=3 20 POINT QUESTIONS.
X+3=38
X=38-3
X=35 4 POINT QUESTIONS.
PROOF:
4*35+20*3=200
140+60=200
200=200