anonymous
  • anonymous
0.8 portion of a tank is filled with water. If 25 litres of water is taken out from the tank, 14 litres of excess water over the half filled up tank remains in it. Find the capacity of the tank.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Jhannybean
  • Jhannybean
So this is going to be a proportionality of how much water the tank can hold at what point.
anonymous
  • anonymous
options are (a) 100 litres (b) 130 litres (c) 200 litres (d) 150 litres Ans-(b)
anonymous
  • anonymous
bt i dnt know how come the ans is coming

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Jhannybean
  • Jhannybean
So if we let c represent the capacity of the tank, then lets see what 0.8 portion of the tank would be like.. |dw:1440402765782:dw|
Jhannybean
  • Jhannybean
Then it says 25 L of the 4/5ths capacity is taken out, this can be represented as: \[0.8c - 25\] Then it says that 14 L of `excess` water water `remains` over `half` the tank's capacity. that can be represented as : \[0.5c + 14\] we can equate these two to find the capacity \(c\) of the tank. \[0.8c - 25 = 0.5c + 14\] Now just solve for \(c\) andyou'llfind your answer.
anonymous
  • anonymous
i must say u r very brilliant ....thanx :)
Jhannybean
  • Jhannybean
no problem, your welcome!
Empty
  • Empty
@yashiii she's smart AND pretty :O
anonymous
  • anonymous
i think it would be 0.4c+ 14 ,because it is saying water is half filled ,..i am confused
Jhannybean
  • Jhannybean
when you think of half, you think of 0.5 or \(\frac{1}{2}\)
anonymous
  • anonymous
hehe..okay @Empty
anonymous
  • anonymous
i am not getting that equation,how we are equating those quations @Jhannybean
Empty
  • Empty
I was talking about @Jhannybean not you @yashiii sorry for the confusion...
anonymous
  • anonymous
hahhhahahah,i knew already rofl @Empty
Jhannybean
  • Jhannybean
we have to set them equal to eachother because one, we given how much water is taken OUT at a certain capacity, and two, you are told how much excess water remains when the tank is at half capacity after the 25 L are taken out
Jhannybean
  • Jhannybean
so you set them equal to eachother to find the general capacity of the tank
anonymous
  • anonymous
thankyou so much.got it :)

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