document.write( "Question 476962: A number is increased by 50 percent, and then the resulting number is decreased by 40 percent. What was the original number if the final number is eight less than the original? \n" ); document.write( "

Algebra.Com's Answer #327011 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = original number
\n" ); document.write( "given:
\n" ); document.write( " $\"+x+%2B+.5x+\"$ is the original number
\n" ); document.write( "increased by 50%
\n" ); document.write( " $\"+x+%2B+.5x+=+1.5x+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+1.5x+-+.4%2A%281.5x%29+\"$ is the resulting number
\n" ); document.write( "decreased by 40%
\n" ); document.write( " $\"+1.5x+-+.4%2A%281.5x%29+=+1.5x+-+.6x+\"$
\n" ); document.write( " $\"+1.5x+-+.6x+=+.9x+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+.9x+=+x+-+8+\"$
\n" ); document.write( " $\"+.1x+=+8+\"$
\n" ); document.write( " $\"+x+=+80+\"$
\n" ); document.write( "The original number was 80
\n" ); document.write( "check:
\n" ); document.write( "Increased by 50% is 120
\n" ); document.write( "Decrease this by 40%
\n" ); document.write( "120 - .4*120 = 120 - 48
\n" ); document.write( "120 - 48 = 72
\n" ); document.write( "72 is 8 less than 80
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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