Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Review: 65

Answer

10 gallons of 40% acid solution. 20 gallons of 10% acid solution.

Work Step by Step

Let $x$ be the volume of 40% acid solution needed. $(30-x)$ is the volume of 10% acid solution needed. 40% = 0.4; 10% = 0.1; 20 = 0.2 $0.4 \times x + 0.1 \times (30-x)=0.2 \times 30$ $0.4x + 3-0.1x=6$ $0.3x+3=6$ $0.3x=3$ $x=10$ 10 gallons of 40% acid solution needed. $30-x=30-10=20$ 20 gallons of 10% acid solution needed.
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