SOLUTION: Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of questions are on the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of questions are on the       Log On


   

Question 1029064: Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of questions are on the test.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=40, where x=2 point ones and y=4 point ones
2x+4y=100
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x+y=40
x+2y=50
-x-2y=-50
x+y=40
add the last two
-y=-10
y=10 questions (40 points)
x=30 questions (60 points)
Total is 40 questions and 100 points