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Question 150521: a researcher orders a broth 40.2% glucose for her lab. However, she needs a stronger broth, one that is 50.1% glucose. She has 16.1 liters of 57% glucose broth in the stock room. How much 50.1% glucose broth can she make?: a researcher orders a broth 40.2% glucose for her lab. However, she needs a stronger broth, one that is 50.1% glucose. She has 16.1 liters of 57% glucose broth in the stock room. How much 50.1% glucose broth can she make?
Answer by josmiceli(1851) About Me  (Show Source):
You can put this solution on YOUR website!
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 = 9.177liters
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 = 11.22liters
The amount of 50.1% broth is
11.22 + 16.1 = 27.32liters answer
Check my math, but I think the method is good