SOLUTION: Please help with the following problem: The score S on a Math 012 test varies directly as the number of correct responses N. Jules answers 29 questions correctly and earns a score

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Question 1093760: Please help with the following problem:
The score S on a Math 012 test varies directly as the number of correct responses N. Jules answers 29 questions correctly and earns a score of 87. What would Jules’ score have been if he had answered 25 questions correctly.
THANK YOU!

Answer by MathTherapy(10552) About Me  (Show Source):
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Please help with the following problem:
The score S on a Math 012 test varies directly as the number of correct responses N. Jules answers 29 questions correctly and earns a score of 87. What would Jules’ score have been if he had answered 25 questions correctly.
THANK YOU!
As this involves DIRECT VARIATION, you can set up the problem as a proportion.
With S being his score when he answers 25 questions correctly, we get: 

OR

With a score of 87 and having gotten 29 correct, it follows that each question is worth 87%2F29, or 3 points.
As each question is worth 3 points, his score, if 25 are correct will be: highlight_green%28matrix%281%2C3%2C+3%2825%29%2C+%22=%22%2C+highlight%2875%29%29%29