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anonymous
 one year ago
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.
anonymous
 one year ago
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.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.02/3x = 1/5 with x representing 1 entire bin

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0correct! @i_dont_know_

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino whats the complete answer :) please include all the work !

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(1/5) / (2/3) = x/1  (1/5 water to 2/3 bin = x water to 1 bin) now we cross multiply 2/3x = 1/5 x = (1/5) / (2/3) x = 1/5 * 3/2 x = 3/10 check 1/5 = 2/3 of 3/10 1/5 = 2/3 * 3/10 1/5 = 6/30 1/5 = 1/5

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0more explanation: the filling rate is: \[r = \frac{{1/5}}{{\left( {2/3} \right)b}}\] now, in order to get the right equation for amount q of water, we have to multiply that rate by the area of the bin \( b \) so we get: \[q = r \cdot b = \frac{{1/5}}{{\left( {2/3} \right)b}} \cdot b = ...?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I would normally set it up as a proportion...like i_don't_know_ did...

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0oops... not area of bin, the volume of bin

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so is this the full answer? the filling rate is: r=1/5(2/3)b now, in order to get the right equation for amount q of water, we have to multiply that rate by the area of the bin b so we get: q=r⋅b=1/5(2/3)b⋅b=...?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know this :( q=r⋅b=1/5(2/3)b⋅b=

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0another way is to write a proportion, please look at the reply of @i_dont_know_

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok but whats this? q=r⋅b=1/5(2/3)b⋅b=

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0I meant: b stands for bin so 1/5 of gallon of water is needed to fill 2/3 of bin, then the filling rate, is: \[r = \frac{{1/5}}{{\left( {2/3} \right)b}}\] now, in order to get the requested amount q of water, we have to multiply r by b so we can write: \[q = r \cdot b = \frac{{1/5}}{{\left( {2/3} \right)b}} \cdot b = ...?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know the answer to that :(

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0ok! then look at the proportion of @i_dont_know_ above

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0if q is the requested amount of water, then we can write: \[q:1 = 1/5:2/3\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0and, if I apply the fundamental property of proportion, I get: \[q = \frac{{1/5}}{{2/3}} = ...?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you just please give me the answer :)

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[q = \frac{{1/5}}{{2/3}} = \frac{1}{5} \cdot \frac{3}{2} = ...?\]
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