Answer
Verified
398.1k+ views
Hint: In this question, first write down the given details, here the food required to feed Number of animals is inversely proportional to number of days food is available.
Complete step-by-step answer:
Given that the farmer has enough food to feed 20 animals in his cattle for 6 days.
Let the number of days food can be fed be X.
Now the farmer is having enough food to feed 20 animals for a period of 6 days. Later the farmer added 10 more animals to the cattle.
Now, the total number of animals in the cattle are 30. Therefore, we should find out for how many days the food is available for 30 animals.
\[ \Rightarrow \dfrac{{20}}{{(20 + 10)}} = \dfrac{X}{6}\]
\[ \Rightarrow \dfrac{{20}}{{30}} = \dfrac{X}{6}\]
\[ \Rightarrow \dfrac{2}{3} = \dfrac{X}{6}\]
\[\therefore X = \dfrac{2}{3} \times 6 = 4\]
Now, the number of days required to feed 30 animals is: \[X = 4\]
Therefore, for 4 days a farmer can feed 30 animals in his cattle.
Note: The number of days food is available is inversely proportional to number of animals. Since there is an increase in the number of animals, the days for which the food is enough will be reduced. That’s why the number of days food is available is inversely proportional to the number of animals. If the number of days we obtained is more than 6 for 30 animals then our answer is incorrect. It should be less than 6 days. In this way we can check our answer.
Complete step-by-step answer:
Given that the farmer has enough food to feed 20 animals in his cattle for 6 days.
Let the number of days food can be fed be X.
Now the farmer is having enough food to feed 20 animals for a period of 6 days. Later the farmer added 10 more animals to the cattle.
Now, the total number of animals in the cattle are 30. Therefore, we should find out for how many days the food is available for 30 animals.
\[ \Rightarrow \dfrac{{20}}{{(20 + 10)}} = \dfrac{X}{6}\]
\[ \Rightarrow \dfrac{{20}}{{30}} = \dfrac{X}{6}\]
\[ \Rightarrow \dfrac{2}{3} = \dfrac{X}{6}\]
\[\therefore X = \dfrac{2}{3} \times 6 = 4\]
Now, the number of days required to feed 30 animals is: \[X = 4\]
Therefore, for 4 days a farmer can feed 30 animals in his cattle.
Note: The number of days food is available is inversely proportional to number of animals. Since there is an increase in the number of animals, the days for which the food is enough will be reduced. That’s why the number of days food is available is inversely proportional to the number of animals. If the number of days we obtained is more than 6 for 30 animals then our answer is incorrect. It should be less than 6 days. In this way we can check our answer.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Write an application to the principal requesting five class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE