document.write( "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
\n" ); document.write( "(The difference between half a number and one fourth the number is four. What is the number?) \n" ); document.write( "

Algebra.Com's Answer #496718 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x\"$ = the number
\n" ); document.write( "half the number = $\"%281%2F2%29%2Ax\"$
\n" ); document.write( "one fourth the number = $\"%281%2F4%29%2Ax\"$
\n" ); document.write( "the difference = $\"%281%2F2%29%2Ax-%281%2F4%29%2Ax\"$
\n" ); document.write( "
\n" ); document.write( "The equation to solve is
\n" ); document.write( " $\"%281%2F2%29%2Ax-%281%2F4%29%2Ax=4\"$
\n" ); document.write( "
\n" ); document.write( "Solving:
\n" ); document.write( " $\"%281%2F2%29%2Ax-%281%2F4%29%2Ax=4\"$
\n" ); document.write( " $\"%281%2F2-1%2F4%29%2Ax=4\"$ after taking out $\"x\"$ as a common factor
\n" ); document.write( " $\"%282%2F4-1%2F4%29%2Ax=4\"$
\n" ); document.write( " $\"%281%2F4%29%2Ax=4\"$
\n" ); document.write( " $\"4%2A%281%2F4%29%2Ax=4%2A4\"$ after multiplying both sides times 4
\n" ); document.write( " $\"%284%2F4%29%2Ax=16\"$
\n" ); document.write( " $\"highlight%28x=16%29\"$
\n" ); document.write( "
\n" ); document.write( "Verifying:
\n" ); document.write( " $\"16\"$ = the number
\n" ); document.write( "half the number = $\"%281%2F2%29%2A16=16%2F2=8\"$
\n" ); document.write( "one fourth the number = $\"%281%2F4%29%2A16=16%2F4=4\"$
\n" ); document.write( "the difference = $\"8-4=4\"$ \n" ); document.write( "

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