document.write( "Question 984892: If the price of gasoline increases by 20% and a person intends to spend only 8% more on gasoline, by how many percent should he reduce the quantity of gasoline that he buys? \n" ); document.write( "

Algebra.Com's Answer #605709 by josmiceli(19441) $\"\"$ $\"About$

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The person has bought $\"+1+\"$
\n" ); document.write( "gallon for price $\"+p+\"$
\n" ); document.write( "The price for the $\"+1+\"$ gallon
\n" ); document.write( "goes up to $\"+1.2p+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Let $\"+x+\"$ = the number of gallons he needs to buy
\n" ); document.write( "The person wants to pay $\"+1.08p+\"$
\n" ); document.write( "The price/gal is $\"+1.2p%2F1+\"$
\n" ); document.write( "[ price/gal ]x[ gal ] = [ price ]
\n" ); document.write( " $\"+1.2p%2Ax+=+1.08p+\"$
\n" ); document.write( " $\"+x+=+1.08%2F1.2+\"$
\n" ); document.write( " $\"+x+=+.9+\"$
\n" ); document.write( " $\"+1+-+.9+=+.1+\"$
\n" ); document.write( " $\"+.1%2A100+=+10+\"$
\n" ); document.write( "He must buy 10% less gasoline
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+.9%2A1.2+=+1.08+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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