document.write( "Question 203275: Planters peanut company wants to mix 20 0f peanuts worth $3 a pound with cashews worth $5 a pound in order to make a mix worth $3.50 a pound. How many pounds of cashews should be added to the peanuts? \n" ); document.write( "

Algebra.Com's Answer #153362 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Planters peanut company wants to mix 20 0f peanuts worth $3 a pound with cashews worth $5 a pound in order to make a mix worth $3.50 a pound. How many pounds of cashews should be added to the peanuts?\r
\n" ); document.write( "\n" ); document.write( "

         \r\n" );
document.write( "Make this chart, putting in the data given and letting x be the number\r\n" );
document.write( "of pounds of cashews:\r\n" );
document.write( "\r\n" );
document.write( "           pounds | price/pound | money taken in if all sold\r\n" );
document.write( "Peanuts     20 lb |     $3      |       \r\n" );
document.write( "Cashews      x lb |     $5      |        \r\n" );
document.write( "----------------------------------------------------------\r\n" );
document.write( "Mixture           |   $3.50     |      \r\n" );
document.write( "                   \r\n" );
document.write( "The number of pounds of mixture is expressed by adding 20 pounds\r\n" );
document.write( "and x pounds, getting 20+x pounds\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "           pounds | price/pound | money taken in if all sold\r\n" );
document.write( "Peanuts     20 lb |     $3      |      \r\n" );
document.write( "Cashews      x lb |     $5      |        \r\n" );
document.write( "----------------------------------------------------------\r\n" );
document.write( "Mixture   20+x lb |   $3.50     |       \r\n" );
document.write( "\r\n" );
document.write( "The money that would be taken in if all 20 lbs. of peanuts were\r\n" );
document.write( "sold separately is found by multiplying the price per pound by \r\n" );
document.write( "the number of pounds of peanuts. That's 20 lb times $3. So we \r\n" );
document.write( "fill that in as 3*20 or $60.\r\n" );
document.write( "\r\n" );
document.write( "The money that would be taken in if all x lbs. of cashews were\r\n" );
document.write( "sold separately is found by multiplying the price per pound by \r\n" );
document.write( "the number of pounds of cashews. That's $5 times x lbs. So we \r\n" );
document.write( "fill that in with $5x.\r\n" );
document.write( "\r\n" );
document.write( "The money that will be taken in when all 20+x lbs. of mixture are\r\n" );
document.write( "sold is found by multiplying the price per pound of mixture by\r\n" );
document.write( "the number of pounds. That's $3.50 times (20+x) lbs. So we fill that in\r\n" );
document.write( "with $3.50(20+x).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "           pounds | price/pound | money taken in if all sold\r\n" );
document.write( "Peanuts     20 lb |     $3      |       $3*20 = $60\r\n" );
document.write( "Cashews      x lb |     $5      |       $5*x  = $5x \r\n" );
document.write( "----------------------------------------------------------\r\n" );
document.write( "Mixture   20+x lb |   $3.50     |       $3.50(20+x)\r\n" );
document.write( "\r\n" );
document.write( "The equation is gotten from the last column. That is,\r\n" );
document.write( "\r\n" );
document.write( "The money that would be taken in if the peanuts were sold\r\n" );
document.write( "separately, which is $3*20 or $60   \r\n" );
document.write( "\r\n" );
document.write( "PLUS\r\n" );
document.write( "\r\n" );
document.write( "The money that would be taken in if the cashews were sold\r\n" );
document.write( "separately, which is $5*x or $5x\r\n" );
document.write( "\r\n" );
document.write( "EQUALS\r\n" );
document.write( "\r\n" );
document.write( "The money that will be taken in when all the mixture is \r\n" );
document.write( "sold, which is  $3.50(20+x)\r\n" );
document.write( "\r\n" );
document.write( "So the equation is\r\n" );
document.write( "\r\n" );
document.write( "$3*20 + $5*x = $3.50(20+x)\r\n" );
document.write( "\r\n" );
document.write( "   60 + 5x = 3.50(20+x)\r\n" );
document.write( "\r\n" );
document.write( "Solve that and get:\r\n" );
document.write( "\r\n" );
document.write( " or  lbs. of cashews.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );