document.write( "Question 254153: If x is 40% of y, what percent of 2y is 3x? \n" ); document.write( "

Algebra.Com's Answer #186479 by richwmiller(17219) $\"\"$ $\"About$

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60% is correct.
\n" ); document.write( "Here's why.
\n" ); document.write( "we are told that
\n" ); document.write( "x=40% of y
\n" ); document.write( "x=.4y
\n" ); document.write( "What percent of y is x
\n" ); document.write( "\"what percent of\"=40%
\n" ); document.write( "40%*y=x
\n" ); document.write( ".4y=x
\n" ); document.write( "we are asked \"what percent of 2y is 3x?\"
\n" ); document.write( "\"what percent of\"=a
\n" ); document.write( "a*2y=3x
\n" ); document.write( "we write that as
\n" ); document.write( "3x=a*2y
\n" ); document.write( "where a is the percent
\n" ); document.write( "3x/2y=a
\n" ); document.write( "from the first equation we know that x=.4y
\n" ); document.write( "3*.4y/2y=a
\n" ); document.write( "y/y=1
\n" ); document.write( ".4/2=.2
\n" ); document.write( "3*.2=a
\n" ); document.write( ".6=a
\n" ); document.write( ".6=60%
\n" ); document.write( "a=60%\r
\n" ); document.write( "\n" ); document.write( "another way to solve it\r
\n" ); document.write( "\n" ); document.write( "x=.4y
\n" ); document.write( "3x=a*2y
\n" ); document.write( "multiply first by 3
\n" ); document.write( "3x=1.2*y
\n" ); document.write( "3x=a*2y
\n" ); document.write( "1.2y=a*2y
\n" ); document.write( "divide by y
\n" ); document.write( "1.2=2a
\n" ); document.write( ".6=a \n" ); document.write( "

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