Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 5 - Ratio and Proportion - 5.4 Solving Problems - 5.4 Exercises - Page 357: 28

Answer

$x = 3.2$ $x = 3\frac{1}{5}$

Work Step by Step

$\frac{8.8}{1.1} = \frac{x}{0.4}$ $1.1x = (8.8)(0.4)$ $1.1x = 3.52$ $\frac{1.1x}{1.1} = \frac{3.52}{1.1}$ $x = 3.2$ $\frac{8\frac{4}{5}}{1\frac{1}{10}} = \frac{x}{\frac{4}{10}}$ $(1\frac{1}{10})(x) = (8\frac{4}{5})(\frac{4}{10})$ $(\frac{11}{10})(x) = (\frac{44}{5})(\frac{4}{10})$ $(\frac{11}{10})(\frac{10}{11})(x) = (\frac{44}{5})(\frac{4}{10})(\frac{10}{11})$ $(\frac{11\div11}{10\div10})(\frac{10\div10}{11\div11})(x) = (\frac{44\div11}{5})(\frac{4}{10\div10})(\frac{10\div10}{11\div11})$ $x = \frac{16}{5}$ $x = 3\frac{1}{5}$
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