sara inspected the horses and hens in her farm one morning. Afterwards, we could not remember how many animals of each kind she had, but knew the total number of these animals was 27, her own age in 1997. She also knew that the total number of legs was 70, the year in which she was born. How many horses does Sara Have? You may assume that each animal has the usual number of legs. Outline clearly the strategy you used to answer this question.

use a system of equations

let x = the number of horses
and y = the number of hens

hens have 2 legs, and horses have 4

x + 7 = 27
(the number of horses plus the number of hens equals 27 animals)

4x + 2y = 70
(four legs on every horse plus 2 legs on every hen equals 70 legs)

Well, Sara certainly has a puzzling farm situation going on there! Let's try to figure it out with some clown logic:

First, let's assign some variables to the unknowns. Let H represent the number of horses and let HEN represent the number of hens.

Now, let's create some equations based on the given information:

Equation 1: H + HEN = 27 (The total number of horses and hens is 27)
Equation 2: 4H + 2HEN = 70 (The total number of legs from all the animals is 70)

Using Equation 1, we can rewrite it as H = 27 - HEN.

Now let's substitute this expression for H in Equation 2:

4(27 - HEN) + 2HEN = 70

Simplifying this equation, we get:
108 - 4HEN + 2HEN = 70
108 - 2HEN = 70
-2HEN = 70 - 108
-2HEN = -38
HEN = -38 / -2
HEN = 19

Now, substitute the value of HEN back into Equation 1 to find H:

H + 19 = 27
H = 27 - 19
H = 8

According to my calculations, Sara has 8 horses on her farm. Although, I have to say, it's quite an unusual farm with all those confusing figures!

To determine the number of horses Sara has, we can use a system of equations based on the information given. Let's define two variables:

Let h be the number of horses Sara has.
Let n be the number of hens Sara has.

We can create two equations based on the information provided:

Equation 1: h + n = 27 (the total number of animals on her farm)
Equation 2: 4h + 2n = 70 (the total number of legs on her farm)

To solve this system of equations, we can use the technique of substitution. Rearrange Equation 1 to solve for n:

n = 27 - h

Substitute this value of n into Equation 2:

4h + 2(27 - h) = 70
4h + 54 - 2h = 70
2h + 54 = 70
2h = 16
h = 8

Therefore, Sara has 8 horses on her farm.

To find out how many horses Sara has, we can use algebraic equations to solve the problem. Let's represent the number of horses as 'h' and the number of hens as 'n'.

We are given two pieces of information:
1. The total number of animals is 27: h + n = 27
2. The total number of legs is 70: 4h + 2n = 70 (each horse has 4 legs, and each hen has 2 legs)

We can solve these equations simultaneously to find the values of 'h' and 'n'.

First, let's solve the first equation for 'n':
n = 27 - h

Now we substitute this value of 'n' in the second equation:
4h + 2(27 - h) = 70

Simplifying this equation, we get:
4h + 54 - 2h = 70
2h = 16
h = 8

So, Sara has 8 horses.

To summarize the strategy used:
1. Assign variables to the unknown quantities (number of horses and number of hens).
2. Write down the given information as equations.
3. Solve the equations simultaneously to find the values of the unknowns.
4. Substitute the values back into the original problem to confirm the answer.