The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. find the number.

2

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  =

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n =

So the question says that, when we add; ,    and 7 all together, the value is 12 1/2

That is;

 + + 7 = 12 1/2

 + + 7  =         ( changing 12 1/2 to improper fraction will give   )

So we can now go ahead and solve for n

 + + 7  =  

subtract 7 from both-side of the equation

 +   =     -   7

 =  

     =    

 can be reduced to give us

  =  

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

   =  

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =       =

Therefore the number is  

that there are 12 data points

step-by-step explanation: