SOLUTION: How many milliliters of 40% ethyl alcohol can be prepared from 135 milliliters of 95% ethyl alcohol? Round to the nearest hundredth. A 40% ethyl alcohol solution is used to

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Question 844202: How many milliliters of 40% ethyl alcohol can be prepared from 135 milliliters of 95% ethyl alcohol? Round to the nearest hundredth.


A 40% ethyl alcohol solution is used to make 250 mL of a 10% ethyl alcohol solution. Put units on your answers with no spaces.
-Determine the amount of 40% ethyl alcohol to be used.
-Determine the amount of distilled water to be used to bring the volume to 250mL.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The first question, making the 40% alcohol from the given 95% alcohol:
Let v = Amount of water to use.
Start with 135 ml. of 95% alcohol.
%28135%2A95%29%2F%28v%2B135%29=40


The second question, making 10% alcohol from the given 40%; a little different because 40% alcohol is being used and diluted with water. The final concentration wanted is 10%, resulting in 250 ml of this 10%.
Realize that water is 0% alcohol.
Let w = Amount of water to use.
Let v = Amount of 40% to use.
40%2Av%2F250=10 AND v%2Bw=250

Find more thorough information on these mixture problems in the lessons.
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http://www.algebra.com/tutors/Two-Part-Mixture-with-one-material-quantity-unknown.lesson?content_action=show_dev
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http://www.algebra.com/tutors/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev