Answer:

There were (A) 1200 more chickens than cows at first.

Step-by-step explanation:

Given:

• On a farm, the number of chickens to the number of cows was in the ratio 5:3
• The ratio became 3:2 after 300 chickens were sold.

To Find:
How many chickens than cows were there at first.

Calculation:

Let, the common ratio is = y

Number of chickens = 5y

Number of cows = 3y

After selling 300 chickens number of chickens = 5y - 300

Now the ratio of chickens and cows are = 5y-300 : 3y

5y-300:3y = 3:2

We can write this like below,

5y-300 / 3y = 3/2

or, 2(5y - 300) = 3(3y)

or, 10y - 600 = 9y

or, 10y - 9y = 600

or, y = 600

Number of chickens were there at first = 5(600) = 3000

Number of cows were there at first = 3(600) = 1800

Number of chickens greater than cows = 3000 - 1800 = 1200

Option (A) 1200 is the correct answer.

Hence, There were (A) 1200 more chickens than cows at first. ( ans. )