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 awnser in !

If 0.2 (one fifth) of a gallon fills 0.67 (two thirds) of the bin, then it can be concluded that one tenth of a gallon fills a third (0.33) of the bin. Hence, the capacity of the bin is 0.3 of a gallon. This can be shown as follows. Let the capacity of the bin = x.

0.2 = 0.67x
∴ 0.1 = 0.33x
∴ x = 0.3

1/5 gal=2/3 of the bin
find entire bin
1/5gal=2/3 times bin
times both sides by 3/2
3/10gal=6/6 times bin
3/10gal=1 times bin
3/10gal=bin
the bin has 3/10 gallon capacity

Ithink the answer is: it is likely.