Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-9 Percents - Practice and Problem-Solving Exercises: 37

Answer

About 66,000 square miles (exactly, 65,555.556 square miles).

Work Step by Step

This is a base because we are told that 11,800 square miles is 18% of the total area of Florida, and we are asked to find the total area of Florida. If a number is a certain percent of an original number and we want to find the original number, we first divide the percentage by 100 to get a decimal. Then, we divide 1 by the decimal to get a new number. We multiply this number by the original number to get the answer. Thus, we divide 18 by 100 to get .18. We divide 1 by .18 to get 5.5556, and we multiply 5.5556 by 11,800 square miles to get an answer of about 66,000 square miles.
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