SOLUTION: Suppose y varies inversely as x and y=24 when x=3. Find x when y=36

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Question 174827This question is from textbook
: Suppose y varies inversely as x and y=24 when x=3. Find x when y=36This question is from textbook

Answer by actuary(112) About Me  (Show Source):
You can put this solution on YOUR website!
24/36 = x/3 Solve for x
x = 24*3/36 = 72/36 = 2
The method used is called the method of proportions. When an "inverse proportion" is set up in fractional form,the numerator of the first ratio must correspond to the denominator in the second ratio. The denominator of the first ratio must correspond to the numerator of the second ratio. Note that this paragraph does NOT apply to problems involving "direct relationships".
So in the setup above,"24" corresponds to "3" and "x" corresponds to "36".
I hope that this helps.