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 $

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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(75887) 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)
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50x + 80*90 = 70x + 70*90
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20x = 10*90
x = 45 lbs (amt. of $50 coffee needed)
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Cheers,
stan H.