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8 1/3% of what number is 45.5 ?

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4 Answers

Kenge:
 
In Vivian's solution, note that 8 1/3% was rounded to the nearest thousandths (0.083) prior to solving the problem, which resulted in an answer of 548.
 
If we choose not to round, we get a slightly different result, as follows:
 
8 1/3% can be converted into an improper fraction of (25/3)/100, which is equal to 25/300 or 1/12 in reduced form.
 
Similarly, 45.5 can be converted to 45 1/2 or 91/2.
 
The equation to solve would then become  (1/12)x=91/2
 
Solving for x, by multiplying both sides by 12 results in x=(91/2)*12 or x=546, as the answer.
 
Thanks,
 
George T.
p=rb (percentage=rate*base)
percentage is the IS number, base is the OF number and rate is the %
 
 ; let n=the base
45.5=(8 1/3)%*n
(8 1/3) %=(8 1/3)/100=(25/3)/100=25/300=1/12
45.5=(1/12)*n
12*45.5=n
546=n
 
Hi Kenge;
8 1/3 % of what number is 45.5?
 
First, we must eliminate the %...
8 1/3%= 0.083
 
45.5=0.083(x)
x="what number"
Let's divide both sides by 0.083
45.5/(0.083) = 0.083(x)/0.083
548=x
 
Let's check our work...
548(0.083) ? 45.5
Yes it does =.