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!
<pre>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: {{{highlight_green(matrix(1,15, 29/25, "=", 87/S, "====>", 29S, "=", 25(87), "====>", S, "=", 25(87)/29, "=", 25(3), "=", highlight(75)))}}}

<b><u>OR</b></u>

With a score of 87 and having gotten 29 correct, it follows that each question is worth {{{87/29}}}, or 3 points.
As each question is worth 3 points, his score, if 25 are correct will be: {{{highlight_green(matrix(1,3, 3(25), "=", highlight(75)))}}}</pre>