SOLUTION: Can please someone help me there is my homework and this is the problem can please someone explain how can it be done (The difference between half a number and one fourth the num

Algebra ->  Permutations -> SOLUTION: Can please someone help me there is my homework and this is the problem can please someone explain how can it be done (The difference between half a number and one fourth the num      Log On


   

Question 824709: Can please someone help me there is my homework and this is the problem can please someone explain how can it be done
(The difference between half a number and one fourth the number is four. What is the number?)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= the number
half the number =%281%2F2%29%2Ax
one fourth the number =%281%2F4%29%2Ax
the difference =%281%2F2%29%2Ax-%281%2F4%29%2Ax

The equation to solve is
%281%2F2%29%2Ax-%281%2F4%29%2Ax=4

Solving:
%281%2F2%29%2Ax-%281%2F4%29%2Ax=4
%281%2F2-1%2F4%29%2Ax=4 after taking out x as a common factor
%282%2F4-1%2F4%29%2Ax=4
%281%2F4%29%2Ax=4
4%2A%281%2F4%29%2Ax=4%2A4 after multiplying both sides times 4
%284%2F4%29%2Ax=16
highlight%28x=16%29

Verifying:
16= the number
half the number =%281%2F2%29%2A16=16%2F2=8
one fourth the number =%281%2F4%29%2A16=16%2F4=4
the difference =8-4=4