SOLUTION: The amount of sugar in Billy's kitchen is directly proportional to the number of cookies he can bake. The number of cookies that Billy bakes is inversely proportional to a score o

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Question 978323: The amount of sugar in Billy's kitchen is directly proportional to the number of cookies he can bake. The number of cookies that Billy bakes is inversely proportional to a score of his physical health (since he eats all the cookies). By what percent will Billy's health score go down if his sugar resources are quadrupled?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = amount of sugar in his kitchen
Let +k%2As+ = number of cookies he bakes
where +k+ is some constant value
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+k%2As+=+j%2A%28+1%2Fn+%29+
where +j+ is another constant and
+n+ is his score of health
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+s+=+%28+j%2Fk+%29%2A%281%2Fn%29+
+4s+=+%28j%2Fk%29%2A%281%2Fn%5B2%5D%29+
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What I want to find is:
+%28+%28+n+-+n%5B2%5D+%29+%2F+n+%29%2A100+
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+n+=+%28j%2Fk%29%2A%281%2Fs%29+
+n%5B2%5D+=+%28j%2Fk%29%2A%281%2F4s%29+
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++%28j%2Fk%29%2A%28+1%2Fs+-+1%2F%284s%29+%29+=+%28j%2Fk%29%2A%28+3%2F%284s%29+%29+
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+%28+3%2F%284s%29+%29+%2F+%28+1%2Fs+%29+=+3%2F4+
+%28+3%2F4+%29%2A100+=+75+
His health score will go down by 75%
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Hope this isn't confusing. The constants +j+
and +k+ get cancelled out