Problema Solution

a bucket is half-filled with rainwater. After raining some more, 7 liters of rainwater has been added and the bucket becomes 3/4 full. How much rainwater is in the bucket now? what is the full capacity of the bucket?

Answer provided by our tutors

let


x = the full capacity of the bucket


a bucket is half-filled with rainwater + 7 liters = 3/4 full


x/2 + 7 = (3/4)x


by simplifying and solving we find


x = 28 l


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the full capacity of the bucket is 18 liters.


How much rainwater is in the bucket now?


(3/4)*28 = 21 l


there are 21 liters of rainwater in the bucket now.