SOLUTION: If 100 gallons of 75% glycerine solution is made up by combining a 30% glycerine solution with a 90% glycerine solution, how much of each solution must be used?

Question 745047: If 100 gallons of 75% glycerine solution is made up by combining a 30% glycerine solution with a 90% glycerine solution, how much of each solution must be used?
Answer by Menjax(62) (Show Source): You can put this solution on YOUR website!
x=amount of 30% solution
y=amount of 90% solution
x+y=100
100 * 75/100 = x * 30/100 + y * 90/100
simplifying 75=x*3/10+y*9/10
using x=100-y
75=100-y*3/10+y*9/10
75=200-3y/10 + 9y/10
750=200-3y + 9y
550/6=y
550/6 + x = 100
550/6=100-x
550=600-6x
-50=-6x
x=50/6
x=25/3
y=275/3
RELATED QUESTIONS
How many litres (L) of a 40% glycerine solution must be mixed with 10L of an 80%... (answered by josgarithmetic)

a tank contains 60 gallons of 50% solution of glycerine and water. what volume of water... (answered by stanbon)

If 100 gallons of a 75% glycerin solution is made up by conbinding a 30% glycerin... (answered by wilft1)

An explosive specialist must make a solution that is 21% Nitro glycerine. He has 7 ml of... (answered by ankor@dixie-net.com)

Fifty gallons of a 90% alcohol solution is obtained by mixing a 100% solution with a 75%... (answered by checkley77)

If 1,600 liters of 10% dextrose solution is made by combining a 20% dextrose solution... (answered by josmiceli)

I'm mixing some E-liquid for vaporizing I have 100% flavored VG (vegetable glycerine) at... (answered by josgarithmetic)

I have 100 gallons of 70% solution. I need to mix it with a 90% solution to obtain a 75%... (answered by TimothyLamb,amalm06)

Four gallons of a 45% acid solution is obtained by mixing a 90% solution with a 30%... (answered by richwmiller,oberobic,mananth)