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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