document.write( "Question 30672: one half of a number is 3 more than one-sixth the same number. What is this number? \n" ); document.write( "
Algebra.Com's Answer #17415 by blubunny01(20)\"\" \"About 
You can put this solution on YOUR website!
First, write an equation to represent the problem:\r
\n" ); document.write( "\n" ); document.write( "Let x = the number you're looking for.\r
\n" ); document.write( "\n" ); document.write( "\"one half of a number...\" = \"x%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"...3 more than one-sixth the same number\" = \"%28x%2F6%29%2B3\"\r
\n" ); document.write( "\n" ); document.write( "The equation now is: \"%28x%2F2%29=%28x%2F6%29%2B3\"\r
\n" ); document.write( "\n" ); document.write( "Now, solve for x:\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2F2%29-%28x%2F6%29=3\" [subtract both sides by (x/6)]\r
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\n" ); document.write( "\n" ); document.write( "\"6%2A%28%28x%2F2%29-%28x%2F6%29%29=6%2A3\" [multiply both sides by 6 to get rid of the fraction]\r
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\n" ); document.write( "\n" ); document.write( "\"3x-x=18\" [simplify both sides: distribute the 6 on the left-hand side]\r
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\n" ); document.write( "\n" ); document.write( "\"2x=18\" [simplify the left side]\r
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\n" ); document.write( "\n" ); document.write( "\"x=9\" [divide both sides by 2]\r
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\n" ); document.write( "\n" ); document.write( "You can double check whether your answer is right by applying the given conditions to the answer:\r
\n" ); document.write( "\n" ); document.write( "\"one half of a number\": 9/2 = 4.5\r
\n" ); document.write( "\n" ); document.write( "\"is 3 more than one-sixth the same number\": 9/6 = 1.5... 3 more -> 4.5
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