# Perplexing Algebra Equation Word Problem

• October 8th 2010, 07:39 PM
PythagorasNeophyte
Perplexing Algebra Equation Word Problem
A very good day to everyone here. I have an algebra word problem:

A bottle $\dfrac{3}{4}$ filled with a liquid weighs $\dfrac{3}{2} kg$. The liquid alone weighs $\dfrac{3}{4} kg$ more than the empty bottle. If the bottle is completely filled, how much will the contents weigh?

So I will let the weight of the empty bottle be $x$.

Then the liquid alone will be $x + \dfrac{3}{4}$.

Which means that $x + x + \dfrac{3}{4} = \dfrac{3}{2}$

Am I right from here?
• October 8th 2010, 07:58 PM
Wilmer
Yes; which means x = 3/8