document.write( "Question 86522This question is from textbook algebra structure and method
\n" ); document.write( ": one third of a number is 5 less than half of the same number. What is the number?
\n" ); document.write( " Once you figure the answer how would you show your work to check to make sure it is right? \n" ); document.write( "
Algebra.Com's Answer #62569 by Earlsdon(6294)\"\" \"About 
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Probably the hardest part of doing this kind of problem is translating from the English statement into algebra.
\n" ); document.write( "One third of a number (n/3) is (=) five less than half the number ((n/2)-5). So you can write:
\n" ); document.write( "n/3 = (n/2)-5 Multiply through by 6 (the LCD) to clear the fractions.
\n" ); document.write( "6(n/3 = (n/2)-5)
\n" ); document.write( "2n = 3n-30 Add 30 to both sides.
\n" ); document.write( "2n+30 = 3n Finally, subtract 2n from both sides.
\n" ); document.write( "30 = n or n = 30
\n" ); document.write( "The number is 30.\r
\n" ); document.write( "\n" ); document.write( "To check the answer. substitute 30 for n in the initial equation.
\n" ); document.write( "30/3 = (30/2)-5 Evaluate this.
\n" ); document.write( "10 = 15-5
\n" ); document.write( "10 = 10 \n" ); document.write( "
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