weight of a book

Algebra Level 2

A book weighs three pounds plus half its own weight. What is the weight of the book?

4.5 pounds 3 pounds 7.5 pounds 6 pounds

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Let w w be the weight of the book. We have

w = 3 + 1 2 w w=3+\dfrac{1}{2}w

1 2 w = 3 \dfrac{1}{2}w=3

w = 2 ( 3 ) = 6 p o u n d s w=2(3)=6~pounds

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