## anonymous one year ago 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.

1. anonymous

So this is going to be a proportionality of how much water the tank can hold at what point.

2. anonymous

options are (a) 100 litres (b) 130 litres (c) 200 litres (d) 150 litres Ans-(b)

3. anonymous

bt i dnt know how come the ans is coming

4. anonymous

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|

5. anonymous

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.

6. anonymous

i must say u r very brilliant ....thanx :)

7. anonymous

8. Empty

@yashiii she's smart AND pretty :O

9. anonymous

i think it would be 0.4c+ 14 ,because it is saying water is half filled ,..i am confused

10. anonymous

when you think of half, you think of 0.5 or $$\frac{1}{2}$$

11. anonymous

hehe..okay @Empty

12. anonymous

i am not getting that equation,how we are equating those quations @Jhannybean

13. Empty

I was talking about @Jhannybean not you @yashiii sorry for the confusion...

14. anonymous

15. anonymous

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

16. anonymous

so you set them equal to eachother to find the general capacity of the tank

17. anonymous

thankyou so much.got it :)