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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.

set this up as a proportion

(one fith) gallon / (two thirds) bin = x gallons / one bin      cross-multiply

one fith = (two thirds)x     multiply both sides by the reciprocal of two thirds = three halves

(three halves) (one fith) = x =  three tenths of a gallon which fills the entire bin

Look at it this wayeach one tenth of a gallon fills one third of the binso three and one tenth gallons fills three and one third binsor

three tenths galons fills a whole bin

let me know if it helped!

yes

step-by-step explanation:

yes