You need 560 mL of a 45% alcohol solution. On hand, you have a 20% alcohol mixture. How much of the 20% alcohol mixture and pure alcohol will you need to obtain the desired solution? You will need  _______mL of the 20% solution and  _______mL of pure alcohol.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section: Chapter Questions
Problem 38CLR
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You need 560 mL of a 45% alcohol solution. On hand, you have a 20% alcohol mixture. How much of the 20% alcohol mixture and pure alcohol will you need to obtain the desired solution?

You will need
 _______mL of the 20% solution
and
 _______mL of pure alcohol.

Expert Solution
Step 1

Let m be the amount in mL you need of the 20% mixture.

The amount of alcohol in the mixture is 0.20mL.

Let a be the amount in mL you need of the pure alcohol.

We need 560mL all together, so a+m=560.

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