document.write( "Question 265590: The Fussy Food Snack Bar makes a trail mix of peanuts and raisins. If the cost of peanuts is $2.00 per pound and the cost of raisins is $3.50 per pound, how many pounds of peanuts and how many pounds of raisins should be used to make a 3 pound blend that costs $3.00 per pound? \n" ); document.write( "
Algebra.Com's Answer #195252 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! Let x pounds of peanuts and y pounds of raisins be used. \n" ); document.write( "Total is x+y = 3 ...(1) \n" ); document.write( "Also, the cost of peanuts is $2.00 per pound and the cost of raisins is $3.50 per pound. \n" ); document.write( "The resulting blend costs $3 per pound \n" ); document.write( "So, 2x+3.5y = 3*3 \n" ); document.write( " 2x+3.5y = 9 ...(2) \n" ); document.write( "(1)*2=> 2x+2y = 6 ...(3) \n" ); document.write( "(2)-(3)=> 1.5y = 3 \n" ); document.write( " y = 3/(1.5) \n" ); document.write( " y = 2 \n" ); document.write( "(1)=> x+2 = 3 \n" ); document.write( " x = 3-2 \n" ); document.write( " x = 1 \n" ); document.write( " |