Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 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.
Please help and don't make it too difficult to understand. Thank You!
Note that 1/5 gal fills 2/3 of the bin
So....we can use a proportion to find the amount we need
1/5 gal ??? gal
______ = ________ cross-multiply
2/3 bin 1 bin
1 * (1/5) = (???) * (2/3)
1/5 = ( ???) * (2/3) multiply both sides by (3/2).....this will cancel the fraction on the right and we have that
(1/5) (3/2) = (???)
(3 / 10 ) gallons = (???) .....the amount to fill the whole tank