Page Sandeep filled water in 4 of an empty tank. After that, Ramakant fille + past more of some tank. Then used 13 post of the tank to water the garden
Answers
The required capacity of the tank left is 340 liters.
Step-by-step explanation:
Given : Sandeep filled water in 4/7 of an empty tank. After that ,Ramakant filled 1/4 part more of the same tank. Then Umesh used 3/14 part of the tank to water the garden. if the tank has h maximum capacity of 560 liters,
To find : How many liter of water will be left in the tank?
Solution :
Let the capacity of the tank be x.
Sandeep filled water in 4/7 of an empty tank i.e. \frac{4}{7}x
7
4
x
Ramakant filled 1/4 part more of the same tank i.e. \frac{1}{4}x
4
1
x
Umesh used 3/14 part of the tank to water the garden i.e. \frac{3}{14}x
14
3
x
The maximum capacity is 560.
i.e. x=560
According to question,
Water in the tank is
=\frac{4}{7}x+\frac{1}{4}x-\frac{3}{14}x=
7
4
x+
4
1
x−
14
3
x
=\frac{32x+14x-12x}{14\times4}=
14×4
32x+14x−12x
=\frac{34x}{14\times4}=
14×4
34x
=\frac{17x}{28}=
28
17x
x=560
=\frac{17\times 560}{28}=
28
17×560
=340=340
Therefore, The required capacity of the tank left is 340 liters.