Question

Medal and Fan

Sara left a bin outside in her garden to collect rainwater. She notices that 1/8 gallon of water fills 2/3 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.

Answer 1

So,

One-eighth gallon of water will fill two-thirds of the bin.

We want the sentence: "x gallons of water will fill three-thirds of the bin."

What we do is multiply two-thirds by its reciprocal (three-halves) and make sure we do it on both sides.

\frac{1}{8} = \frac{2}{3} x
\frac{3}{2} * \frac{1}{8} = x
\frac{3}{16}\ gal. = x

So your equation would look like this:
\frac{1}{8} * \frac{3}{2}\ gal._{water} = x

Answer 2

\[\frac{1}{8} * \frac{3}{2}\ gal._{water} = x\]

Answer 3

This?

Answer 4

yup

Answer 5

What is X?

Answer 6

What does it equal?

Answer 7

just use the equation and solve yourself

Answer 8

Well what's the answer?

Answer 9

\[\frac{ 1~bin }{ 1 } * \frac{ 1/ 8 ~gal }{ 2/3~bin } = ~~~gal\]

Answer 10

I meant

Answer 11

How do I solve that @DanJS

Answer 12

you wanted gallons in 1 bin, so start with 1 bin, multiply that by the given ratio of 1/8 gallon to 2/3 bin...

notice it is set up so that the units for bin will cancel... just take care of the numbers

Answer 13

so I do 1/8 * 2/3?

Answer 14

when dividing a fraction by a fraction, you can flip the bottom one over and multiply it to the top

Answer 15

Isn't it "keep Change Flip?"

Answer 16

\[\frac{ 1 }{ 8 }*\frac{ 3 }{ 2 }\]

Answer 17

\[\frac{ 1 }{ 8 } * \frac{ 3 }{ 2 } = \frac{ 3 }{ 16 }\]
Is that correct?

Answer 18

yep, 3/16 gal per full bin

Answer 19

Thank you!