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 12: 60a

Answer

The required volume of stock in US measures is $~~2~cups+1~halfcup+2~teaspoons$

Work Step by Step

We can calculate the required volume of stock in British teaspoons: $V = (1~breakfastcup)+(1~teacup)+(6~tablespoons)+(1~dessertspoon)$ $V = (2~teacups)+(1~teacup)+(6~tablespoons)+(1~dessertspoon)$ $V = (3~teacups)+(6~tablespoons)+(1~dessertspoon)$ $V = (24~tablespoons)+(6~tablespoons)+(1~dessertspoon)$ $V = (30~tablespoons)+(1~dessertspoon)$ $V = (60~dessertspoons)+(1~dessertspoon)$ $V = 61~dessertspoons$ $V = 122~teaspoons$ Note that for liquid measures, 1 British teaspoon = 1 US teaspoon. Therefore the required volume of stock is 122 US teaspoons. We can express this volume in US measures: $V = 122~teaspoons$ $V = 40~tablespoons+2~teaspoons$ $V = 5~halfcups+2~teaspoons$ $V = 2~cups+1~halfcup+2~teaspoons$ The required volume of stock in US measures is $~~2~cups+1~halfcup+2~teaspoons$
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