SOLUTION: Please help, I am given the following question, but I do not get the answer that is given. Their answer is 154, therefore would you please be able to give me the correct steps to g

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Question 109632This question is from textbook Mathematics for Technicians
: Please help, I am given the following question, but I do not get the answer that is given. Their answer is 154, therefore would you please be able to give me the correct steps to get their answer, or please let me know if they have made a mistake.
If A varies directly as 1/B, and given that A = 117 when B = 83.4, evaluate:
B when A = 63.2.
Thank you so very much. Cheers D
This question is from textbook Mathematics for Technicians

Found 3 solutions by Fombitz, checkley71, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A varies directly as 1/B means that
A=c%2FB where c is a constant
You can re-arrange the equation.
AB=c
A%5B1%5DB%5B1%5D=A%5B2%5DB%5B2%5D
%28117%29%2883.4%29=%2863.2%29B%5B2%5D
B%5B2%5D=154.4

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
83.4/63.2=X/117
63.2X=117*83.4
X=9757.8/63.2
X=154.4 ANSWER.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If A varies directly as 1/B
A = k(1/B) = k/B
----------
Need to find "k"
given that A = 117 when B = 83.4, evaluate:
117 = k/83.4
k= 117*83.4
k = 9757.8
EQUATION:
A = 9757.8/B
----------------
Find B when A = 63.2.
63.2 = 9757.8/B
B = 9757.8/63.2
B = 154.3955...
=============
Cheers,
Stan H.