document.write( "Question 114405: Jonathan needs a mixture of 86% oats and 14% corn. He currently has 21 pounds of a
\n" ); document.write( "mixture of 32% oats. How many pounds of oats should be added to the mixture \n" ); document.write( "

Algebra.Com's Answer #83228 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Jonathan needs a mixture of 86% oats and 14% corn. He currently has 21 pounds of a
\n" ); document.write( "mixture of 32% oats. How many pounds of oats should be added to the mixture.
\n" ); document.write( ":
\n" ); document.write( "Write an equation based on the % oats
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of 100% oats to be added to achieve 86% mixture
\n" ); document.write( ":
\n" ); document.write( ".32(21) + 1.0x = .86(x+21)
\n" ); document.write( ":
\n" ); document.write( "6.72 + x = .86x + 18.06
\n" ); document.write( ":
\n" ); document.write( "x - .86x = 18.06 - 6.72
\n" ); document.write( ":
\n" ); document.write( ".14x = 11.34
\n" ); document.write( ":
\n" ); document.write( "x = 11.34/.14
\n" ); document.write( ":
\n" ); document.write( "x = 81 pounds of oats required
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution:
\n" ); document.write( ".32(21) + 81 = .86(81 + 21)
\n" ); document.write( "6.72 + 81 = .86(102)
\n" ); document.write( "87.72 = 87.72
\n" ); document.write( " \n" ); document.write( "

\n" );