SOLUTION: A chemical store room has a 90% acid solution and 40% solution. How many CENTILITERS of the 90% solution should be added to 50 CENTILITERS of the 40% solution to yield up a 50% sol
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Question 1086552: A chemical store room has a 90% acid solution and 40% solution. How many CENTILITERS of the 90% solution should be added to 50 CENTILITERS of the 40% solution to yield up a 50% solution?
p.s. i caps the centiliters for clearer comprehension. Thank you sir/maam tutors! :) Answer by jim_thompson5910(35256) (Show Source):
We have 50 centiliters of the 40% solution.
This means we have 0.4*50 = 20 centiliters of pure acid
We're adding on x more centiliters of the 90% solution.
There are an additional 0.9*x centiliters of pure acid.
In total, we have 0.9*x+20 centiliters of pure acid.
This is out of x+50 centiliters of solution.
Divide the expressions 0.9*x + 20 over x+50 to get .
This fraction represents the ratio of pure acid to total solution.
We want this ratio to be equal to 50%.
This is because we want the final solution to be 50% acid
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