Math, asked by mayureshdongare30, 6 hours ago

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

Answered by ItzMonster
1

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.

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