document.write( "Question 1052044: one grade of oil has .50% of an additive. a higher grade has .75% of the additive. how many quarts of each must be used to have 250 quarts of a mixture with .65% of the additive? \n" ); document.write( "
Algebra.Com's Answer #667471 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = quarts of the .5 % oil
\n" ); document.write( "Let \"+b+\" = quarts of the .75% oil
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+250+\" quarts
\n" ); document.write( "(2) \"+%28+.005a+%2B+.0075b+%29+%2F+250+=+.0065+\"
\n" ); document.write( "-------------------------------------
\n" ); document.write( "(2) \"+.005a+%2B+.0075b+=+.0065%2A250+\"
\n" ); document.write( "(2) \"+.005a+%2B+.0075b+=+1.625+\"
\n" ); document.write( "(2) \"+50a+%2B+75b+=+16250+\"
\n" ); document.write( "(2) \"+2a+%2B+3b+=+650+\"
\n" ); document.write( "Multiply both sides of (1) by \"+2+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+3b+=+650+\"
\n" ); document.write( "(1) \"+-2a+-+2b+=+-500+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+b+=+150+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+250+\"
\n" ); document.write( "(1) \"+a+%2B+150+=+250+\"
\n" ); document.write( "(1) \"+a+=+100+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "100 quarts of the .5 % oil are needed
\n" ); document.write( "150 quarts of the .75% oil are needed
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) \"+%28+.005a+%2B+.0075b+%29+%2F+250+=+.0065+\"
\n" ); document.write( "(2) \"+%28+.005%2A100+%2B+.0075%2A150+%29+%2F+250+=+.0065+\"
\n" ); document.write( "(2) \"+%28+.5+%2B+1.125+%29+%2F+250+=+.0065+\"
\n" ); document.write( "(2) \"+1.625+=+1.625+\"
\n" ); document.write( "OK
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