anonymous
  • anonymous
Nancy left a bin outside in her garden to collect rainwater. She notices that 1 over 2 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.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@phi @mathmath333
anonymous
  • anonymous
@imqwerty @dan915 @Elsa213 @JayJayTheWereWolfGal1
phi
  • phi
does that say 1/2 gallons fills 2/3 of the barrel?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Yes it does
phi
  • phi
you could use ratios: 1/2 is to 2/3 as x is to 1 which says 1/2 gallon is to 2/3 of a bin as an unknown number of gallons (call it x) is to 1 (full) bin \[ \frac{ \frac{1}{2}}{\frac{2}{3}} = \frac{x}{1} \]
phi
  • phi
or you could say 2/3 of a full bin is 1/2 gallon 2/3 x = 1/2 \[ \frac{2}{3} x= \frac{1}{2} \]
anonymous
  • anonymous
OK the second one makes more sense
phi
  • phi
to solve the second one, multiply both sides by 3/2 and simplify
anonymous
  • anonymous
Multiply 12?
anonymous
  • anonymous
@phi
phi
  • phi
you should get \[x= \frac{3}{2}\cdot \frac{1}{2} = \frac{3}{4} \] 3/4 of a gallon will fill the bin.

Looking for something else?

Not the answer you are looking for? Search for more explanations.