a tank is 2 / 5 ful if 16 litre of water is added to the tank it become 6 ,/ 7 full find the capacity of the tank
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Answer:
The capacity of the tank = 35 litres
Step-by-step explanation:
Let C be the total capacity of the tank
We have given that if 16 litres of water is added to the tank which is 2/5 full, the tank becomes 6/7 full. This means:
(2/5)*C + 16 = (6/7)*C
2C/5 + 16 = 6C/7
(2C + 80)/5 = 6C/7
7*(2C + 80) = 5*6C .. Cross multiplying
14C + 560 = 30C
30C - 14C = 560
16C = 560
C = 35
Verify:
2/5 of tank = 2/5*35 = 14
6/7 of tank = 6/7*35 = 30
According to the problem, if 16 litres is added to 14, we get 30
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