Nancy left a bin outside in her garden to collect rainwater. She notices that 1/2 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.

Given :  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.

To Find : Write and solve an expression to find the amount of water that will fill the entire bin.

Solution:

Let say amount of  Water to  fill the bin  = W gallon

  Water required to fill the  2/3 bin  = 2W/3

  Water required to fill the  2/3 bin   = 1/2  gallon

Equate both

2W/3  = 1/2

is the  expression to find the amount of water that will fill the entire bin.

2W/3  = 1/2

=> 2W = 3/2

=>  W = 3/4

3/4  gallon of water fills the bin

Learn More:

x³-2x²-9 ; 5x³+2x+9 Add the given polynomial.

3p³q+2p²q+7 ; 2p²q+4pq-2p³q Add the given polynomial.

23001 hope you like my answer if so mark as brainliest

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step-by-step explanation: