An algebra problem by Pavan Kumar

Algebra Level 1

2/7 portion of a liquid container is filled with water and further addition of 10 litres of water completely fills the container. what is the total capacity of the container in litres?

14 18 22 25 19 35

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3 solutions

Omkar Kulkarni
Jan 13, 2015

Let the total capacity be x x litres.

2 x 7 + 10 = x \frac {2x}{7} + 10 = x

2 x + 70 = 7 x 2x+70=7x

5 x = 70 5x=70

x = 14 x=14

Akash Gupta
Jan 19, 2015

(2x/7) + 10=1x,i.e, full capacity 10=x-2x/7 10=5x/7 x=10*7/5 x=14 Ans) 14

Pavan Kumar
Jan 17, 2015

2/7 portion of container is already filled . That means 2 parts out of 7 parts are already filled. The remaining 5 parts are filled by adding 10 litres of water, that means each part is 2 litres. Therefore total capacity of container is 7 parts== 7 X 2=14 litres

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