Sara left a bin outside in her garden to collect rainwater. She notices that 1 over 8 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

Question

mathstudent55 · Answer

The full bin contains x amount of water.
Using x, how much water is in the bin now?

nikki_skellington · Answer

1/8 × 2/3 gal = x be a good equation and the answer is 1/12 right

mathstudent55 · Answer

Don't go so fast.
Just answer a question at a time.
Incidentally, that equation is incorrect.

mathstudent55 · Answer

Once again, the full bin contains x gallons.
It is 2/3 full.
Using x, can you write an expression that shows how full the bin is?

mathstudent55 · Answer

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mathstudent55 · Answer

The full bin can hold x gallons of water.

The bin is 2/3 full.

The amount of water in the bin is $\dfrac{2}{3} x$

We are told that the amount of water in the bin is 1/8 of a gallon, so the equation is:

$\dfrac{2}{3} x = \dfrac{1}{8} $

mathstudent55 · Answer

Now you need to solve the equation.