document.write( "Question 250368: Soybean meal is 16% protein, cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 10% protein?
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document.write( "How many pounds of cornmeal?
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document.write( "How many pounds of soybean meal?
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document.write( "im not good at word problems can someone pleeese help me? thank you \n" );
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Algebra.Com's Answer #182292 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Okay...this is a classic \"mixture\" problem...they are solved pretty much the same way...through this setup...\r \n" ); document.write( "\n" ); document.write( "(Amount of #1)(% of #1) + (Amount of #2)(% of #2) = (Total amount)(Final %)\r \n" ); document.write( "\n" ); document.write( "In our problem, let x = amount of cornmeal, so that 320-x is the amount of soybean meal...notice how they have to add to 320...so if we plug in, we get \n" ); document.write( "(320-x)(18%) + (x)(8%) = (320)(10%) \n" ); document.write( "Here we can multiply both sides by 100 and eliminate the % signs... \n" ); document.write( "(320-x)(18) + (x)(8) = (320)(10) ...now multiply out and get \n" ); document.write( "5760-18x + 8x = 3200 ...now combine like terms and get \n" ); document.write( "-10x = -2560 ...divide by minus ten and get \n" ); document.write( "x = 256 lbs cornmeal \n" ); document.write( "320-x = 64 lbs soybean meal\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |