SOLUTION: How many liters of a 20% alcohol solution must be added to 80 liters of a 50% alcohol solution to form a 45% solution? Also, How many pounds of coffee A at $3/pound should be

Algebra.Com
Question 153532: How many liters of a 20% alcohol solution must be added to 80 liters of a 50% alcohol solution to form a 45% solution?
Also,
How many pounds of coffee A at $3/pound should be mixed with 2.5 pounds of coffee B at $4.20/pound to form a mixture selling for $3.75/pound?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How many liters of a 20% alcohol solution must be added to 80 liters of a 50% alcohol solution to form a 45% solution?
------------
Let amount of 20% solution be "x":
EQUATION:
alcohol: 0.20x + 0.50*80 = 0.45(x+80)
20x + 4000 = 45x + 3600
25x = 400
x = 16 liters (amount of 20% solution that must be added)
---------------------------------

Also,
How many pounds of coffee A at $3/pound should be mixed with 2.5 pounds of coffee B at $4.20/pound to form a mixture selling for $3.75/pound?
EQUATION:
value: 3A + 4.2*2.5 = 3.75*(A + 2.5)
3A + 10.5 = 3.75A + 9.375
0.75A = 1.125
A = 1.5 lbs. (Amount of coffee that must be added)
================
Cheers,
Stan H.
RELATED QUESTIONS

Moonshine has 50 liters of a 70% alcohol solution. How many liters of pure alcohol must... (answered by mathie123)
How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol... (answered by jorel555)
How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol... (answered by josgarithmetic,MathTherapy)
How many liters of a 10% alcohol solution must be added to 80 liters of a 30% alcohol... (answered by Earlsdon)
How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol... (answered by fractalier)
How many liters of a 70% alcohol must be added to 50 liters of a 40% alcohol solution to... (answered by nerdybill)
How many liters of a 20% alcohol should be added to an 80% alcohol solution to obtain 15... (answered by Alan3354)
How many liters of a 20% alcohol should be added to an 80% alcohol solution to obtain 15... (answered by stanbon)
How many liters of a 70 percent alcohol solution must be added to 50 liters of a 40... (answered by scott8148)
how many liters of 20% alcohol solution and 10% alcohol solution must be mixed to obtain... (answered by nyc_function)