SOLUTION: a merchant has coffee worth $20 a pound that she wishes to mix with 80 pounds of coffee worth $90 a pound to get a mixture that can be sold for $60 a pound. how many pounds of the

Question 186415: a merchant has coffee worth $20 a pound that she wishes to mix with 80 pounds of coffee worth $90 a pound to get a mixture that can be sold for $60 a pound. how many pounds of the $20 coffee should be used?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a merchant has coffee worth $20 a pound that she wishes to mix with 80 pounds of coffee worth $90 a pound to get a mixture that can be sold for $60 a pound. how many pounds of the $20 coffee should be used?
-----------
Equation:
value + value = value
20x + 90*80 = 60(x+80)
20x = 90*80 = 60x + 60*80
-40x = -30*80
x = 30*2
x = 60 lbs (amt. of $20 coffee needed in the mixtue
------------------------------------------------------
Cheers,
Stan H.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $20 coffee used
given:
= cost in dollars of $20 coffee used
= cost in dollars of $90 coffee used
= pounds of coffee in final mixture
= cost in dollars of final mixture
-------------------

60 pounds of $20 coffee must be used
check:

OK
RELATED QUESTIONS
A merchant has coffee worth $3 a pound that she wishes to mix with 60 pounds of coffee... (answered by checkley77)
a merchant has coffee worth $5 a pound that she wishes to mix with 50 pounds of coffee... (answered by jorel1380)
a merchant has coffee worth $3 a pound that she wishes to mix with 50 pounds of coffee... (answered by ad_alta)
I getting stumped on this problem, please help. A merchant has coffee worth $20 a pound... (answered by Earlsdon)
A merchant has coffee worth $20 a pound that she wishes to mix with 90 pounds of... (answered by Boreal,greenestamps,ikleyn)
a merchant has coffee worth $30 a pound that she wishes to mix with 30 pounds of coffee... (answered by josgarithmetic)
I have tried this problem about 10 different ways but I can't seem to get it!! Help!!! (answered by edjones)
A merchant has coffee worth $20 a pound that she wishes to mix with 90 pounds of coffee... (answered by josmiceli)
A merchant has coffee worth $60 a pound that she wishes to mix with 40 pounds of coffee... (answered by mananth)