Jason left a bin outside in his garden to collect rainwater. He notices that 1 over 5 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.

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin      cross-multiply

1/5 = (2/3)x     multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x =  3/10 gallons fills the entire bin

Look at it this wayeach 1/10 of a gallon fills 1/3 of the binso 3(1/10) gallons fills 3(1/3)binsor

3/10 galons fills a whole bin

Step-by-step explanation:

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.