Answer

Verified

417.9k+ views

**Hint:**Now let us say that n buckets are needed to fill 586.5 litres of water. Now we know that the water in n buckets will be n × capacity of water in 11 buckets. Here we know that 1 bucket has a capacity of 8.5 litres. Hence substituting this in the equation we will find the value of n and hence find the number of buckets needed.

**Complete step by step solution:**

Now we are given that the capacity of the bucket is 8.5 litres. Now we know that one bucket will hold 8.5 litres of water. 2 buckets will hold 2 × 8.5 litres of water and hence n buckets will hold $n\times 8.5$ litres of water.

Now we are given that there is 586.5 litres of water.

Now let us say n buckets of water are filled with 586.5 litres of water.

Now the water in n buckets is given by n × 18.5 litres.

But we know that the water in n buckets is 586.5 litres.

Hence we have the equation n × 18.5 = 586.5.

Now dividing the whole equation by 18.5 we get,

$\Rightarrow n=\dfrac{586.5}{18.5}$

Now multiplying the numerator and denominator to remove the decimal we get,

$n=\dfrac{5865}{185}=31.70$

Now since n is the number of buckets n must be a natural number.

**Hence we will need at least 32 buckets to fill 586.5 litres of water.**

**Note:**Now note that we can always use a unitary method to solve this type of equation. Here we have, 1 bucket holds 18.5litres so how many buckets hold 586.5. Let the number of buckets be x. then we take the ratio as $\dfrac{18.5}{1}=\dfrac{586.5}{x}$. Also note that since n must be an integer we will take n to be the next integer close to the obtained number.

Recently Updated Pages

Who among the following was the religious guru of class 7 social science CBSE

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Trending doubts

Derive an expression for drift velocity of free electrons class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE

The energy of a charged conductor is given by the expression class 12 physics CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Derive an expression for electric field intensity due class 12 physics CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Derive an expression for electric potential at point class 12 physics CBSE