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.

You take 1/3, which is the amount you are looking for to fill the rest of the container, then you multiply that times 1/2. this equals 1/6 of a gallon. then you add that to 1/2 a gallon to find out the total of all the water it takes to fill the bin. 1/2+1/6=3/6+1/6=4/6 or 2/3 gallon simplified.