document.write( "Question 165563: almonds cost $1.60 per pound. Walnuts cost $1.10 per pound. how many pounds of each shuold be mixed to produce a 40 pound mixture at $1.25 per pound?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x=12 , there are 12 pounds of almonds and 28 pounds of walnuts \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "need a break down of how x=12, and that there are 12 pounds of almonds and 28 pounds of walnuts. \n" ); document.write( "
Algebra.Com's Answer #122035 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=amount of almonds needed
\n" ); document.write( "Then 40-x=amount of walnuts needed
\n" ); document.write( "($ understood)
\n" ); document.write( "Now we know that the value of the almonds (1.60x) plus the value of the walnuts (1.10(40-x)) has to equal the value of the final mixture (1.25*40), so our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "1.60x+1.10(40-x)=1.25*40 get rid of parens distributive
\n" ); document.write( "1.60x+44-1.10x=50 subtract 44 from each side
\n" ); document.write( "1.60x+44-44-1.10x=50-44 collect like terms
\n" ); document.write( "0.50x=6 divide each side by 0.5
\n" ); document.write( "x=12 lbs ------------------amount of almonds needed
\n" ); document.write( "40-x=40-12=28 lbs --------------------amount of walnuts needed\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "1.60*12+1.10*28=50
\n" ); document.write( "19.2 + 30.8=50
\n" ); document.write( "50=50\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );