Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 6 - Percent - 6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem - 6.3 Exercises: 50

Answer

There are 8600 students total in the school.

Work Step by Step

We know that 2322 students work full time and that this corresponds to 27% of the total number of students. We can set up a proportion to find out the total number of students at the school: $\frac{2322}{n}=\frac{27}{100}$ Where $n$ is the total number of students. We cross-multiply: $2322*100=27*n$ $n=\frac{232200}{27}=8600$ students Thus there are 8600 students total in the school.
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