Basic College Mathematics (10th Edition)

Published by Pearson
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Chapter 5 - Ratio and Proportion - 5.5 Solving Application Problems with Proportions - 5.5 Exercises - Page 365: 23

Answer

2065 incoming students need a refresher. When flipping one side of the proportion, the result is that 4214 incoming students need a refresher. Since this exceeds the total number of incoming students it is not a reasonable answer.

Work Step by Step

Correct: $\frac{7\ refreshers}{10\ students} = \frac{x\ refreshers}{2950\ students}$ $10x = 2950\times7$ $\frac{10x}{10} = \frac{20650}{10}$ $x = 2065$ Incorrect: $\frac{7}{10} = \frac{2950}{x}$ $7x = 2950\times10$ $\frac{7x}{7} = \frac{29500}{7}$ $x = 4214$
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