SOLUTION: 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.

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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?
Answer by josmiceli(19441) 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%2A16.1+=+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
%28.402x+%2B+9.177%29%2F%2816.1+%2B+x%29+=+.501
mulltiply both sides by 16.1+%2B+x
.402x+%2B+9.177+=+8.0661+%2B+.501x
.099x+=+1.1109
x+=+11.22liters
The amount of 50.1% broth is
11.22+%2B+16.1+=+27.32liters answer
Check my math, but I think the method is good