SOLUTION: How many kilograms of pure alcohol must be added to 40 kg of a 70% alcohol solution to produce an 85% alcohol solution?

Algebra.Com
Question 164106: How many kilograms of pure alcohol must be added to 40 kg of a 70% alcohol solution to produce an 85% alcohol solution?
Answer by alicealc(293)   (Show Source): You can put this solution on YOUR website!
Let pure alcohol = x kg

x + (70/100)*40 = (85/100)*(x + 40)
<=> x + 0.7*40 = 0.85*(x + 40)
<=> x + 28 = 0.85x + 34
<=> x - 0.85x = 34 - 28
<=> 0.15x = 6
<=> x = 6/0.15
<=> x = 40

so 40 kg of pure alcohol must be added

RELATED QUESTIONS

How many kilograms of pure alcohol must be added to 40 kg of a 70% alcohol solution to... (answered by rcmcc)
How many ounces of pure alcohol must be added to 40 ounces of a 70% alcohol solution to... (answered by mananth,nerdybill)
how many kilograms of pure alcohol must be added to 20 grams of a 10% alcohol solution to (answered by Earlsdon)
How many liters of water must be added to 10 liters of a 75% antifreeze solution in order (answered by josgarithmetic)
1.moonshine has 50 liters of a 70% alcohol solution.how many liters of pure alcohol must... (answered by stanbon)
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 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 70% alcohol must be added to 50 liters of a 40% alcohol solution to... (answered by nerdybill)