document.write( "Question 1054223: Please help me to solve this problem.\r
\n" );
document.write( "\n" );
document.write( "A certain mine yields low-grade oil shale containing 18.0 U.S. gallons of oil per ton of rock, and another mine has shale yielding 30.0 gal./ton. How many tons of each must be sent each day to a processing plant that processes 23000 tons of rock per day, so that the overall yield will be 22.0 gal./ton?
\n" );
document.write( "
\n" );
document.write( "18.0 gal./ton=
\n" );
document.write( "30.0 gal./ton= \n" );
document.write( "
Algebra.Com's Answer #669441 by jorel555(1290)![]() ![]() ![]() You can put this solution on YOUR website! Let n be the the amount of rock coming from the low-grade shale. Then the rock coming from the high-grade shale would be 23000-n. So: \n" ); document.write( "n/18 + (23000-n)/30 = 23000/22=1045.454545 \n" ); document.write( "5n+3(23000-n)=94090.909090909 \n" ); document.write( "2n=25090.909090909 \n" ); document.write( "n=12545.45454545 tons of low-grade shale; \n" ); document.write( "23000-n=10454.54545454 tons of high-grade shale. ☺☺☺☺ \n" ); document.write( " |