document.write( "Question 1026525: I need help with this problem, tristian paid $17.50 to buy 2 pounds of peanuts and 3 pounds of cashews. Rivka paid $19.00 to buy 5 pounds of peanuts and 2 pounds of cashews. If both paid the same price per pound, what was the price per pound for the cashews? \n" ); document.write( "
Algebra.Com's Answer #641744 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= cost of cashew \n" ); document.write( "y= cost of peanuts \n" ); document.write( "Total sold \n" ); document.write( "3.00 x + 2.00 y = 17.50 .............1 \n" ); document.write( "Total value \n" ); document.write( "2.00 x + 5.00 y = 19.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -5.00 \n" ); document.write( "Multiply (2) by 2.00 \n" ); document.write( "-15.00 x -10.00 y = -87.50 \n" ); document.write( "4.00 x + 10.00 y = 38.00 \n" ); document.write( "Add the two equations \n" ); document.write( "-11.00 x = -49.50 \n" ); document.write( "/ -11.00 \n" ); document.write( "x = 4.50 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "3.00 x + 2.00 y = 17.50 \n" ); document.write( "13.50 + 2.00 y = 17.50 \n" ); document.write( " 2.00 y = 17.50 -13.50 \n" ); document.write( " 2.00 y = 4.00 \n" ); document.write( " y = 2.00 \n" ); document.write( "x= 4.50 cost of cashew \n" ); document.write( "y= 2.00 cost of peanuts \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |