document.write( "Question 831531: one stick is 9cm longer than the other. 2/5 of the long stick is equal to 1/2 of the shorter stick. find the length of the longer stick. \n" ); document.write( "

Algebra.Com's Answer #501445 by JulietG(1812) $\"\"$ $\"About$

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Let S be the short stick
\n" ); document.write( "Let L be the long stick
\n" ); document.write( "Here's what we're told:
\n" ); document.write( "L = 9 + S
\n" ); document.write( "2/5L = 1/2S
\n" ); document.write( ".
\n" ); document.write( "Substitute the value for L
\n" ); document.write( "2/5(9+S) = 1/2S
\n" ); document.write( "Multiply each side by 5 to get rid of that first fraction
\n" ); document.write( "2(9+S) = 1/2S * 5
\n" ); document.write( "Distribute and multiply
\n" ); document.write( "18 + 2S = 5/2 * S
\n" ); document.write( "Subtract 2S from each side (which is 4/2S)
\n" ); document.write( "18 = 1/2S
\n" ); document.write( "Multiply each side by 2 to get rid of the fraction
\n" ); document.write( "36 = S
\n" ); document.write( "If the short stick is 36, then the longer stick is 36+9=45 <<--
\n" ); document.write( ".
\n" ); document.write( "Let's check it.
\n" ); document.write( "\"2/5 of the long stick is equal to 1/2 of the shorter stick\"
\n" ); document.write( "2/5 * 45 = 90/5 = 18
\n" ); document.write( "1/2 * 36 = 36/2 = 18
\n" ); document.write( "They are equal.
\n" ); document.write( "Success!
\n" ); document.write( " \n" ); document.write( "

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