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 th

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Question 237509: 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 Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
2 * x + 4 * y = 100

x + y = 40

x = 40 - y

substitute in first equation to get:

2 * (40-y) + 4*y = 100

remove parentheses to get:

80 - 2y + 4y = 100

solve for y to get:

2y = 20

y = 10

x = 40 - 10 = 30

you have 30 questions worth 2 points.

you have 10 questions worth 4 points.

total questions is 30 + 10 = 40

total points is 60 + 40 = 100