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?

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) (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 

RELATED QUESTIONS

I'm confused on these problems can you show me step by step how to do this? 

Janet is... (answered by stanbon)
A chemist mixed a 15% glucose solution with a 35% glucose solution.This mixture produced... (answered by mananth)
if you have 16 milliliters of a 24% glucose solution, how much of a 50% glucose solution... (answered by ankor@dixie-net.com,ikleyn)
A doctor mixed a 10% glucose solution with a 20% glucose solution. This mixture produced... (answered by josmiceli)
You want to mix some 10% glucose solution with some 15% glucose solution to obtain 100 ml  (answered by josgarithmetic)
A researcher orders a broth of 0.3% glucose for her lab. However she needs a stronger... (answered by ankor@dixie-net.com)
A researcher orders a solution of 32.5% glucose for her lab.  However, she needs a... (answered by lwsshak3,mananth)
I really don't understand word problems, would you please help me with this problem?

A  (answered by AnlytcPhil)
how much 25% glucose solution must be mixed with how much 20% glucose to make 60 liters... (answered by josgarithmetic)