Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.7 - Modeling with Equations - 1.7 Exercises - Page 78: 60

Answer

Approximately 3.06 gal

Work Step by Step

x will be the amount of solution replaced by pure bleach We start with 100gal (2% concentration=0.02) and we should end up with 100 gal (5% concentration = 0.05). 0.02(entire amount minus amount to be replaced) 0.02(100-x) 1x is the amount of pure bleach 0.05(100) is result 0.02(100-x)+1x =0.05(100) 2-0.02x+x =5 0.98x=3 x=$\frac{3}{0.98}$ $\approx$ 3.06
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