Nancy left a bin outside in her garden to collect rainwater. She noticed that 1/2 gallon of water fills 2/3 of the bin right and solve an equation to find the amount of water that will fill the entire bin.

Answer 1

Let's assume that the amount of water that fills the entire bin is x gallons.
According to the given information, 1/2 gallon of water fills 2/3 of the bin. So, the ratio of the amount filled to the capacity is (1/2) / (2/3) = 1/2 * 3/2 = 3/4.
Therefore, we can set up the equation: (3/4)x = 1.
To solve for x, we multiply both sides of the equation by (4/3):
x = 4/3.
Hence, the amount of water that will fill the entire bin is 4/3 gallons.