document.write( "Question 624863: A merchents has coffee worth $60 a pound that she wants to mix with 70 pounds of coffe worth $90 a pound to get a mixture that is worth $70 a pound. How many pounds (lbs) of the $60 coffee should be used? \n" ); document.write( "
Algebra.Com's Answer #393175 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Coffee-A \n" ); document.write( "======== \n" ); document.write( "Worth = $60/pound \n" ); document.write( "Weight=x pounds\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Coffee-B \n" ); document.write( "======== \n" ); document.write( "Worth = $90/pound \n" ); document.write( "Weight= 70 pounds\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mixture \n" ); document.write( "======== \n" ); document.write( "Worth = $70/pound \n" ); document.write( "Weight= (x+70) pounds\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(Coffee-A worth)*(Coffee-A weight) + (Coffee-B worth)*(Coffee-B weight) = (Mixture worth)*(Mixture weight) \n" ); document.write( "(60)(x)+(90)(70)=(70)(x+70) \n" ); document.write( "60x+6300=70x+4900 \n" ); document.write( "60x-70x=4900-6300 \n" ); document.write( "-10x=-1400 \n" ); document.write( "Divide by -10 both sides of above equation \n" ); document.write( "-10x/-10=-1400/10 \n" ); document.write( "x=140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "She should mix 140 pounds of coffee worth $60 a pound with 70 pounds of coffee worth $90 a pound to get a mixture that is worth $70 a pound \n" ); document.write( " \n" ); document.write( " |