ratio of 9:2
means for every 9 cows there are 2 horses
72/9 = 8
8 x 2 = 16
there are 16 horses
Answer: The required number of horses at the farm is 16.
Step-by-step explanation: Given that at a farm, the ratio of cows to horses was 9:2 and there were 72 cows at the farm.
We are to find the number of horses at the farm.
Let the number of cows and horses at the farm be 9x and 2x respectively.
Then, according to the given information, we have
[tex]\textup{number of cows}=72\\\\\Rightarrow 9x=72\\\\\Rightarrow x=\dfrac{72}{9}\\\\\Rightarrow x=8.[/tex]
Therefore, the number of horses at the farm will be
[tex]2x=2\times8=16.[/tex]
Thus, the required number of horses at the farm is 16.
