SOLUTION: A merchant has coffee worth $40 a pound that she wishes to mix with 60 pounds of coffee worth $80 a pound to get a mixture that can be sold for $50 a pound. How many pounds of the
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Question 1164098: A merchant has coffee worth $40 a pound that she wishes to mix with 60 pounds of coffee worth $80 a pound to get a mixture that can be sold for $50 a pound. How many pounds of the $40 coffee should be used? Answer by ikleyn(52780) (Show Source):
Your basic equation for the price of the mixture per pound is
= 50 dollars per pound for the mixture.
It implies
40x + 4800 = 50*(x+60)
40x + 4800 = 50x + 3000
4800 - 3000 = 50x - 40x
1800 = 10x
x = 1800/10 = 180 pounds.
CHECK. = 50 dollars per pound for the mixture. ! Correct !
