SOLUTION: a merchant has coffee worth $50 a pound that she wants to mix with 90 pounds of coffee worth $80 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: a merchant has coffee worth $50 a pound that she wants to mix with 90 pounds of coffee worth $80 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 473852: a merchant has coffee worth $50 a pound that she wants to mix with 90 pounds of coffee worth $80 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $50 coffee should be used?
Answer by stanbon(57347) About Me  (Show Source):
You can put this solution on YOUR website!
a merchant has coffee worth $50 a pound that she wants to mix with 90 pounds of coffee worth $80 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $50 coffee should be used?Equation:
value + value = value
50x + 80*90 = 70(x+90)
-----
50x + 80*90 = 70x + 70*90
----
20x = 10*90
x = 45 lbs (amt. of $50 coffee needed)
===============================
Cheers,
stan H.