document.write( "Question 642967: We have a one pound coffee can. We will fill that can about 80% full with a grain that contains 12% protein. We will then fill the remaining 20% with another grain that contains 32% protein. What is the total percentage of protein the horse will receive a feeding? How much of each grain (the 12% protein and the 32% protein) should we put into that one pound coffee can so that the horse receives a total of only 15% protein? \n" ); document.write( "
Algebra.Com's Answer #404315 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! We have a one pound coffee can. \n" ); document.write( " We will fill that can about 80% full with a grain that contains 12% protein. \n" ); document.write( " We will then fill the remaining 20% with another grain that contains 32% protein. \n" ); document.write( "What is the total percentage of protein the horse will receive a feeding? \n" ); document.write( " How much of each grain (the 12% protein and the 32% protein) should we put \n" ); document.write( " into that one pound coffee can so that the horse receives a total of only \n" ); document.write( " 15% protein? \n" ); document.write( ": \n" ); document.write( "Let deal with this in ounces, 16 oz in 1 pound \n" ); document.write( ".8(16) = 12.8 oz of 12% protein \n" ); document.write( ".2(16) = 3.2 oz of 32% protein \n" ); document.write( ": \n" ); document.write( "\"What is the total percentage of protein the horse will receive a feeding? \" \n" ); document.write( ".12(12.8) + .32(3.2) = 16x \n" ); document.write( "1.536 + 1.024 = 16x \n" ); document.write( "2.56 = 16x \n" ); document.write( "x = 2.56/16 \n" ); document.write( "x = .16 * 100 = 16% protein in this mixture \n" ); document.write( ": \n" ); document.write( "\" How much of each grain (the 12% protein and the 32% protein) should we \n" ); document.write( " put into that one pound coffee can so that the horse receives a total of \n" ); document.write( " only 15% protein? \n" ); document.write( ": \n" ); document.write( "Let a = amt of 32% grain required to accomplish this \n" ); document.write( "then \n" ); document.write( "(16-a) = amt of 12% grain \n" ); document.write( ": \n" ); document.write( ".12(16-a) + .32a = .15(16) \n" ); document.write( "1.92 - .12a + .32a = 2.4 \n" ); document.write( ".20a = 2.4 - 1.92 \n" ); document.write( ".2a = .48 \n" ); document.write( "a = .48/.2 \n" ); document.write( "a = 2.4 oz of 32% grain \n" ); document.write( "then \n" ); document.write( "16-2.4 = 13.6 oz of 12% grain \n" ); document.write( " |