document.write( "Question 545041: A mechanic has 341 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. He wants one mixture to be 8% oil and the other mixture to be 3.5% oil. If he wants to use all of the gas and oil, how many gallons of gas and oil are in each of the resulting mixtures?\r
\n" ); document.write( "\n" ); document.write( "i know that:
\n" ); document.write( "mixture A = oil/(oil+gas)=.08
\n" ); document.write( "mixture B = oil/(oil+gas)=.035
\n" ); document.write( "if i mix all the gas and oil together i get a 5.013% soulution.
\n" ); document.write( "it's supposed to be a system of equations problem.. but my answer document has four blanks to fill in because there are two mixtures, but i cannot figure out how i would even go about this problem. \n" ); document.write( "
Algebra.Com's Answer #355587 by ankor@dixie-net.com(22740)\"\" \"About 
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A mechanic has 341 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures.
\n" ); document.write( " He wants one mixture to be 8% oil and the other mixture to be 3.5% oil.
\n" ); document.write( " If he wants to use all of the gas and oil, how many gallons of gas and oil are in each of the resulting mixtures?
\n" ); document.write( ":
\n" ); document.write( "let a = amt of mixture which is 8% oil
\n" ); document.write( "let b = amt of mixture which is 3.5% oil
\n" ); document.write( ":
\n" ); document.write( "The oil equation
\n" ); document.write( ".08a + .035b = 18
\n" ); document.write( "the gas equation
\n" ); document.write( ".92a + .965b = 341
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 23, multiply the 2nd equation by 2
\n" ); document.write( "1.84a + .805b = 414
\n" ); document.write( "1.84a + 1.93b = 682
\n" ); document.write( "---------------------subtraction eliminates a, find b
\n" ); document.write( "-1.125b = -268
\n" ); document.write( "b = \"%28-268%29%2F%28-1.125%29\"
\n" ); document.write( "b = +238.2 gal of the 3.5% mixture
\n" ); document.write( "then
\n" ); document.write( ".035(238.2) = 8.337 gal of oil in the 3.5% mixture
\n" ); document.write( "and
\n" ); document.write( ".965(238.2) = 229.863 gal of gas int he 3.5% mixture
\n" ); document.write( ":
\n" ); document.write( "How about the 8% mixture?
\n" ); document.write( "18 - 8.337 = 9.663 gal of oil in the 8% mixture
\n" ); document.write( "and
\n" ); document.write( "341 - 229.863 = 111.137 gal of gas in the 8% mixture
\n" ); document.write( " \n" ); document.write( "
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