SOLUTION: Your teacher is giving a test worth 250 points. There are 68 questions. Some questions are worth 5 points and the rest are worth 2 points. How many of each type of questions are on

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Question 402535: Your teacher is giving a test worth 250 points. There are 68 questions. Some questions are worth 5 points and the rest are worth 2 points. How many of each type of questions are on the test?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
5x + 2y = 250
x+y = 68 ==> -2x - 2y = -136
Adding corresponding sides,
3x = 114 ==> x = 38 5-point questions, and
30 2-point questions.