8 1/3% of what number is 45.5 ?

Question

8 1/3 % of what number is 45.5

 

Answer 1

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.

Answer 2

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

 

Answer 3

8 1/3% = 75/900 or 1/12

 

1/12 * x = 45.5

 

x = 45.5 / (1/12)

 

45.5 / (1/12) = 45.5 * 12 = 546

Answer 4

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 =.