document.write( "Question 1142163: A grocer wishes to mix some nuts worth $.90 per pound with some nuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.3o per pound. How much of each should she use? \n" ); document.write( "

Algebra.Com's Answer #762823 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let  \"x\" be the amount (in pounds) of nuts worth $1.60 per pound. \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the amount of nuts worth $0.90 per pound is the rest (175-x) pounds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total cost equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    1.60*x + 0.90*(175-x) = 1.30*175   dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From this equation, express x and calculate\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    1.60x + 0.90*175 - 0.90x = 1.30*175\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x =  = 100.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  100 pounds at  $1.60  and  the rest, (175-100) = 75 pounds at $0.90.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   The price per pound of the mixture is then   = 1.30 dollars per pound.    ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );