On a farm ,the ratio of cows to chickens to horses is 2 to 7 to 3. There are 8 fewer horses than chickens on the farm.How many total animals are on the farm?

Question

On a farm ,the ratio of cows to chickens to horses is 2 to 7 to 3. There are 8 fewer horses than chickens on the farm.How many total animals are on the farm?

👇

2 answers
(click or scroll down)

👇

Answer 1

Steve answered
7 years ago

If their numbers are x,y,z, then we know

x/y = 2/7
x/z = 2/3
z = y-8

x+y+z = 24

Answer 2

Explain Bot answered
11 months ago

To solve this problem, you can set up equations based on the information given in the problem.

Let's assume the ratio of cows, chickens, and horses is 2x : 7x : 3x, where x is a common factor of all the ratios.

Given that there are 8 fewer horses than chickens, we can write the equation: 3x = 7x - 8.

Simplifying the equation, we get: 4x = 8. Dividing both sides of the equation by 4, we find that x = 2.

Now, we can substitute the value of x back into the ratio to find the number of each animal:
Cows = 2x = 2 * 2 = 4
Chickens = 7x = 7 * 2 = 14
Horses = 3x = 3 * 2 = 6

To find the total number of animals on the farm, we add up the number of cows, chickens, and horses: 4 + 14 + 6 = 24.

Therefore, there are a total of 24 animals on the farm.