Question 150521
In words:
(final liters of glucose)/(final toal liters of broth) = final percent glucose
I'm told that the final percent glucose is 50.1%
How much glucose is in the 16.1 liters of 57% broth?
{{{.57*16.1 = 9.177}}}liters
I'm not told how much 40.2% broth I have, so I'll call the
liters of this broth {{{x}}}
There is {{{.402x}}} glucose in this broth
{{{(.402x + 9.177)/(16.1 + x) = .501}}}
mulltiply both sides by {{{16.1 + x}}}
{{{.402x + 9.177 = 8.0661 + .501x}}}
{{{.099x = 1.1109}}}
{{{x = 11.22}}}liters
The amount of 50.1% broth is
{{{11.22 + 16.1 = 27.32}}}liters answer
Check my math, but I think the method is good