Question

$55$ cows can graze a field in $16$ days. How many cows will graze the same field in $10$ days $?$

Answer 1

Step: Calculate the number of cows

Given: $55$ cows can graze a field in $16$ days

Let the number of cows that can graze the field in $10$ days be $‘x^{\prime }$

Number of cows	$55$	$x$
Number of days	$16$	$10$

Clearly, more is the number of cows, less will be the number of days to graze the field completely. It is, therefore, the case of inverse variation.
$\Rightarrow \text{Ratio of number of cows}=\text{Inverse ratio of number of days}$

$\Rightarrow \frac{55}{x}=\frac{10}{16}$
$\Rightarrow x=88$

Hence, $88$ cows can graze the same field in $10$ days.