joe has a farm with 99 animal, four times as many cows as horses, twice as many horses as pigs. how many cows, horses and pigs are there?

pigs--- x

horses --- 2x
cows--- 4(2x) or 8x

8x + 2x + x = 99
11x = 99
x = 9

9 pigs, 18 horses, and 72 cows

To find the number of cows, horses, and pigs on Joe's farm, let's break down the information given step by step.

Step 1: Start with the given information. We know that Joe has a total of 99 animals on his farm.

Step 2: Let's assign variables to represent the number of cows, horses, and pigs. For simplicity, let's call the number of cows "c", horses "h", and pigs "p".

Step 3: From the information given, it says that Joe has four times as many cows as horses. This can be represented as:

c = 4h

Step 4: It also says that Joe has twice as many horses as pigs:

h = 2p

Step 5: We need to find the values of c, h, and p. To do that, we'll set up a system of equations using the information from steps 3 and 4:

Equation 1: c = 4h
Equation 2: h = 2p

Step 6: Now, substitute Equation 2 into Equation 1:

c = 4(2p)
c = 8p

Step 7: We know that the total number of animals is 99, so we can form another equation:

c + h + p = 99

Step 8: Substitute the value of c from Step 6 into Equation 7:

8p + h + p = 99
9p + h = 99

Step 9: Now, we have a system of two equations with two variables, p and h:

Equation 3: 9p + h = 99
Equation 4: h = 2p

Step 10: To solve the system, we can substitute Equation 4 into Equation 3:

9p + 2p = 99
11p = 99

Step 11: Solving for p:

p = 99 / 11
p = 9

Step 12: Now that we have the value of p, we can substitute it into Equation 4 to find h:

h = 2p
h = 2 * 9
h = 18

Step 13: Finally, substitute the values of p and h into Equation 1 to find c:

c = 4h
c = 4 * 18
c = 72

So, on Joe's farm, there are 72 cows, 18 horses, and 9 pigs.