Basic College Mathematics (10th Edition)

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

Chapter 5 - Ratio and Proportion - 5.5 Solving Application Problems with Proportions - 5.5 Exercises - Page 365: 26


28 machines would have a defect. When flipping one side of the proportion, the result indicating thaat 1,120,000 has a defect is unreasonable because it exceeds the number of machines produced.

Work Step by Step

Correct $\frac{1\ defect}{200\ machines} = \frac{x\ defects}{5600}$ $200x = 1\times5600$ $\frac{200x}{200} = \frac{5600}{200}$ $x = 28$ Incorrect $\frac{1}{200} = \frac{5600}{x}$ $1x = 200\times5600$ $x = 1,120,000
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