document.write( "Question 123158This question is from textbook Algebra And Trigonometry
\n" ); document.write( ": A forester mixes gasoline and oil to make 2 gallons of mixture for his two cycle chain-saw engine. This mixture is 32 parts gasoline and 1 part two cycle oil. How much gasoline must be added to bring the mixture to 40 parts gasoline and part oil? \n" ); document.write( "

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A forester mixes gasoline and oil to make 2 gallons of mixture for his two cycle chain-saw engine. This mixture is 32 parts gasoline and 1 part two cycle oil. How much gasoline must be added to bring the mixture to 40 parts gasoline and one part oil?
\n" ); document.write( ":
\n" ); document.write( "The total parts in the original mixture would be: 32 + 1 = 33 parts
\n" ); document.write( "The total parts in the new mixture will be: 40 + 1 = 41 parts
\n" ); document.write( " $\"1%2F33\"$ of it is oil
\n" ); document.write( ":
\n" ); document.write( " $\"1%2F33\"$ *2 = $\"1%2F41\"$ (x+2)
\n" ); document.write( ":
\n" ); document.write( "Cross multiply
\n" ); document.write( "33(x+2) = 41(2)
\n" ); document.write( "33x + 66 = 82
\n" ); document.write( "33x = 62 - 66
\n" ); document.write( "33x = 16
\n" ); document.write( "x = 16/33
\n" ); document.write( "x = .48 gal, say, half gallon of gasoline required
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( " $\"1%2F33\"$ *2 = .06
\n" ); document.write( " $\"1%2F41\"$ *2.5 = .06 \n" ); document.write( "

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