document.write( "Question 506927: A 170 second song is divided into three parts, beginning, middle, and end. Beginning is 1/6 as long as the end. Middle is 1/2 as long as the end. Find the length of each part. \n" ); document.write( "
Algebra.Com's Answer #340524 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "length of end = x
\n" ); document.write( "length of beginning = 1/6 * x = x/6
\n" ); document.write( "length of middle = 1/2 * x = x/2\r
\n" ); document.write( "\n" ); document.write( "length of end + length of beginning + length of middle = Total length
\n" ); document.write( "x+(x/6)+(x/2)=170
\n" ); document.write( "Multiply by 6 both sides of the equation (6 is LCM of 6, 2)
\n" ); document.write( "6*(x+(x/6)+(x/2))=6*170
\n" ); document.write( "6x+x+(3*x)=1020
\n" ); document.write( "6x+x+3x=1020
\n" ); document.write( "10x=1020
\n" ); document.write( "Divide by 10 both sides of the equation
\n" ); document.write( "10x/10=1020/10
\n" ); document.write( "x=102
\n" ); document.write( "length of end = x = 102 Seconds
\n" ); document.write( "length of beginning = 102/6 = 17 Seconds
\n" ); document.write( "length of middle = x/2 = 102/2 = 51 Seconds
\n" ); document.write( "length of end + length of beginning + length of middle = Total length
\n" ); document.write( "102+17+51=170
\n" ); document.write( "170=170\r
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