Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 1 - Problem Solving and Critical Thinking - Chapter Summary, Review, and Test - Review Exercises: 13

Answer

Answer: 444 $\div$ 12 = 37 The first dividend is 111 and the divisor is 3. The quotient is 37. Each time the dividend is the previous dividend plus 111. The divisor always increase by 3. So, by induction, the next line has a dividend of 444 and a divisor of 4. The quotient follows pattern and is 37.

Work Step by Step

I started with the first line: 111 $\div$ 3 = 37. Then the second line is 222 $\div$ 6 = 37. Last, the problem has 333 $\div$ 9 = 37. Using this pattern, I concluded that the dividend should be 333 + 111 and the divisor should be 9 + 3, or 12. I divided the numbers and found the quotient was 37.
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