Question

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.

Answer 1

@Michele_Laino
Please explain

Answer 2

@Michele_Laino

Answer 3

we have to compute this:
\[\frac{1}{2} \times \frac{3}{2} = ...?\]

Answer 4

I think this is the answer but im not sure(1/2) / (2/3) = x / (3/3) --- 1/2 gal to 2/3 bin = x gal to 3/3 bin)
cross multiply
(2/3)(x) = (1/2)(3/3)
2/3x = 3/3
x = (3/3) / (2/3)
x = 3/3 * 3/2
x = 9/6 = 1 1/2

the amount of water that would fill the entire bin is : 1 1/2 gallons or 1.5 gallons

Answer 5

in order to fill completely a bin, we need 3/2 times 1/2 gallon

Answer 6

if 1/2 a gallon fills 2/3 of the bin. 1/4 will fill 1/3. therefor 3/4 gallons will fill the whole bin. Is that right?

Answer 7

Ok can u right the answer out for me explaining plea ese

Answer 8

if we know how much is needed to fill 2/3. all we need to work out is how much is needed for the last 1/3. do you understand?

Answer 9

now, half of 2/3 is 1/3. it takes 1/2 a gallon to fill 2/3 so half of that (1/4) will fill 1/3.

Answer 10

So thas the answer??

Answer 11

so if 1/2 a gallon fills 2/3 and 1/4 gallon fills 1/3 of the bin, the full bin will need 1/2 + 1/4 gallons of water which = 3/4 gallons.

Answer 12

Thank you is he correct @Michele_Laino

Answer 13

thank you! @nuccioreggie @Z4K4R1Y4

Answer 14

you're welcome.