document.write( "Question 1070834: A radiator contains 6 quarts of fluid, 15% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 45% antifreeze? (Round your answer to two decimal places.) \n" ); document.write( "
Algebra.Com's Answer #685832 by josmiceli(19441)\"\" \"About 
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Let \"+x+\" = quarts of fluid to be drained
\n" ); document.write( "and replaced
\n" ); document.write( "\"+.15x+\" = quarts of antifreeze in the fliuid
\n" ); document.write( "that is drained and replaced
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "\"+%28+.15%2A%28+6+-+x+%29+%2B+x+%29+%2F+6+=+.45+\"
\n" ); document.write( "\"+%28+.9+-+.15x+%2B+x+%29+%2F+6+=+.45+\"
\n" ); document.write( "\"+%28+.85x+%2B+.9+%29+%2F+6+=+.45+\"
\n" ); document.write( "\"+.85x+%2B+.9+=+2.7+\"
\n" ); document.write( "\"+.85x+=+1.8+\"
\n" ); document.write( "\"+x+=+2.1176+\"
\n" ); document.write( "2.12 quarts of fluid must be drained and replaced
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+.15%2A6+=+.9+\" ounces of antifreeze to start with
\n" ); document.write( "\"+.15%2A2.12+=+.318+\" ounces of antifreeze is drained off
\n" ); document.write( "\"+2.12+\" ounces of antifreeze is added
\n" ); document.write( "---------------------------------------
\n" ); document.write( "\"+.9+-+.318+%2B+2.12+=+2.702+\" final ounces of antifreeze
\n" ); document.write( "\"+2.702%2F6+=+.45+\"
\n" ); document.write( "\"+2.702+=+2.7+\"
\n" ); document.write( "close enough
\n" ); document.write( "check the math
\n" ); document.write( "Get another opinion if needed\r
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