Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises - Page 176: 11

Answer

$3\frac{3}{7}\ L$

Work Step by Step

Step 1. Assume we need $x\ L$ of pure alcohol, the total volume would be $x+12$ Step 2. The alcohol before mix is $x(1)+12(0.1)=x+1.2$ Step 3. The alcohol after mix is $(x+12)(0.3)=0.3x+3.6$ Step 4. Let $x+1.2=0.3x+3.6$, we have $0.7x=2.4$, thus $x=\frac{24}{7}=3\frac{3}{7}\ L$
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