document.write( "Question 1111575: Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 L/mg and the rest 150 L/mg of oil. How much of each type of rock is needed to produce 120 L/mg? \n" ); document.write( "
Algebra.Com's Answer #726577 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = mg of 72 L/mg rock needed
\n" ); document.write( "Let \"+b+\" = mg of 150 L/mg rock needed
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+18000+\"
\n" ); document.write( "(2) \"+72a+%2B+150b+=+18000%2A120+\"
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(2) \"+72a+%2B+150b+=+2160000+\"
\n" ); document.write( "(2) \"+12a+%2B+25b+=+360000+\"
\n" ); document.write( "Multiply both sides of (1) by \"+12+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+12a+%2B+25b+=+360000+\"
\n" ); document.write( "(1) \"+-12a+-+12b+=+-216000+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "\"+13b+=+144000+\"
\n" ); document.write( "\"+b+=+11076.92+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+=+18000+-+b+\"
\n" ); document.write( "(1) \"+a+=+18000+-+11076.92+\"
\n" ); document.write( "(1) \"+a+=+6923.08+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "6,923.08 mg of 72 L/mg rock
\n" ); document.write( "11,076.92 mg of 150 L/mg rock
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+72a+%2B+150b+=+2160000+\"
\n" ); document.write( "(2) \"+72%2A6923.08+%2B+150%2A11076.92+=+2160000+\"
\n" ); document.write( "(2) \"+498461.76+%2B+1661538+=+2160000+\"
\n" ); document.write( "(2) \"+2159999.76+=+2160000+\"
\n" ); document.write( "close enough
\n" ); document.write( "Definitely get a 2nd opinion on this one
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