If 21 cows eat as much as 15 oxen. How many cows will eat as much as 25 oxen?


Given:

21 cows eat as much as 15 oxen.

To do:

We have to find how many cows will eat as much as 25 oxen.
Solution:
 Let 21 cows eat $x$ amount of food.

This implies,

15 oxen eat $x$ amount of food.

Amount of food eaten by 1 cow$=\frac{x}{21}$

Amount of food eaten by 1 oxen$=\frac{x}{15}$

Therefore,

Amount of food eaten by 25 oxen$=25\times \frac{x}{15}=\frac{5x}{3}$

Number of cows that will eat as much as 25 oxen $=\frac{\frac{5x}{3}}{\frac{x}{21}}$

$=\frac{5x}{3}\times\frac{21}{x}$

$=5\times7$

$=35$

Therefore, 35 cows will eat as much as 25 oxen.

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Updated on: 10-Oct-2022

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