SOLUTION: if F = 9 fifths C+32, find C when F = 95.

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Question 112800: if F = 9 fifths C+32, find C when F = 95.
Found 2 solutions by checkley71, solver91311:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
F=9/5(C+32)
95=9/5C+32
95-32=9C/5
63=9C/5 NOW CROSS MULTIPLY
63*5=9C
9C=315
C=35

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
F=%289%2F5%29C%2B32 is the given relationship, which is F as a function of C. But to answer the question, we need to know C as a function of F. Therefore, the first step is to solve the equation for C in terms of F.

F=%289%2F5%29C%2B32
F-32=%289%2F5%29C. Subtract 32 from both sides.
5%28F-32%29=9C. Multiply both sides by 5
%285%2F9%29%28F-32%29=C. Divide both sides by 9

Now we have an expression for C in terms of F, so we can substitute the given value of F (95) to determine C.

%285%2F9%29%2895-32%29=C
%285%2F9%29%2863%29=C
5%2863%2F9%29=5%2A7=35=C

Let's check by finding out what F would be if C = 35.
F=%289%2F5%2935%2B32
F=9%2A7%2B32=63%2B32=95 and our answer checks.

Hope that helps,
John