Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Prologue - Principles of Problem Solving - Look Back - Problems - Page P4: 6

Answer

They are the same, please see explanations.

Work Step by Step

They are the same because the cream in coffee will be a spoonful minus the amount returned, while the coffee in cream is exactly the amount of a spoonful less the volume that the returned cream take. Let us assume the volume of the spoon is $v$. The first step transferred an amount of $v$ cream to the coffee. After mixing the cream with coffee, assume a spoonful of this mixture contains $v1$ amount of coffee, then we know that it must contains $v-v1$ of cream, which means that the remaining amount of cream in coffee is $v-(v-v1)=v1$. So the amount of coffee $v1$ transferred to the cream pitcher is the same as the cream remaining in coffee.
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