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There are two simultaneous equations:

  1. x + y = 24
  2. 3x + 5y = 100
with two unknowns; They can be solved to find that x = 10 and y = 14.

In other words there are 10 questions each worth 3 points and 14 questions each worth 5 points.

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Q: A test with 24 questions is worth 100 points. x of the questions are worth 3 points each and y of the questions - the rest - are worth 5 points each. what is the number of each type of question?
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