SOLUTION: Janet is mixing a 15% glucose solution with a 35% glucose soution. This mixture produces 35 liters of a 19% glucose solution. How many liters of the 35% solution did Janet use?

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Question 373698: Janet is mixing a 15% glucose solution with a 35% glucose soution. This mixture produces 35 liters of a 19% glucose solution. How many liters of the 35% solution did Janet use?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

mixing a 15% glucose solution with a 35% glucose soution

Let x represent the 35% solution (assigning x to more concentrated solution)

then (35-x) will be the amount of the 15% soluton

.35x + .15(35L-x) = .19*35L

solving for x

.35x + .15*35L -.15x = .19*35L

.20x = .04*35L

x = .15*35L/.20 = 7L, the amount of the 35% solution



checking our answer

28L of the 15% solution (35L - 7L)

.35*7 + .15*28 = 6.65 = .19*35