Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 1 - Measurement - Problems - Page 9: 8b

Answer

$50$ Smoots is equal to $43.333$ repeating Zeldas.

Work Step by Step

Using corresponding marks on the Smoots line and Zelda line, we can determine that the differences between each lines marks are of equal distance, but in different units: $2125-325 = 1800 Smoots$ is equal to $2162-602 = 1560Zeldas$ We now can use cross multiplication to find 50 Smoots in Zeldas $$\frac{1800}{1560}=\frac{50}{z}$$ This can be solved using the knowledge that: $$1800\times z = 1560 \times50$$ Therefore we can divide the product of $1560 \times50$ (78000) by $1800$ to get a final answer of $43.333$ repeating Zeldas.
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