SOLUTION: Your science test is worth 100 points and contains 38 questions. There are two-point and five-point questions on the test. How many of each type of question are on the test?

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Question 718840: Your science test is worth 100 points and contains 38 questions. There are two-point and five-point questions on the test. How many of each type of question are on the test?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Your science test is worth 100 points and contains 38 questions. There are two-point and five-point questions on the test. How many of each type of question are on the test?
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let x=number of 2-point questions on the test
38-x=number of 3-point questions on the test
2x+3(38-x)=100
2x+114-3x=100
x=14
38-x=24
number of 2-point questions on the test=14
number of 3-point questions on the test=24