document.write( "Question 148915: cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 21 pounds of a mixture that sells for $3.00 per pound? \n" ); document.write( "
Algebra.Com's Answer #109240 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! x=# pounds of cashews \n" ); document.write( "y=# pounds of peanuts\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x+2y=63--------------Because the cost of it all is 21 times 3 (21 pounds of a mixture that sells for $3.00 per pound)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you have two equations \n" ); document.write( "5x+2y=63 \n" ); document.write( "x+y=21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for x in the second equation \n" ); document.write( "x=21-y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug that into the first equation \n" ); document.write( "5(21-y)+2y=63\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute \n" ); document.write( "105-5y+2y=63\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms \n" ); document.write( "105-3y=63\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 105 from both sides \n" ); document.write( "-3y=-42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by -3 \n" ); document.write( "y=14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is the pounds of peanuts \n" ); document.write( "plug that into the second equation \n" ); document.write( "x+14=21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 14 from both sides \n" ); document.write( "x=7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is the pounds of cashews \n" ); document.write( "So,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "14 lbs. peanuts \n" ); document.write( "7 lbs. cashews \n" ); document.write( " |