A farm raises pigs and chickens. The farmer has a total of 66 animals. One day he counts the legs of all his animals and realizes he has a total of 174 legs. How many pigs does the farmer have

Choose the one expression that breaks apart the area of the large rectangle into the sum of the areas of two smaller rectangles.

A shaded rectangle in an array of squares has a length of 7 inches and a width of 6 inches.

A.
(
6
×
7
)
=
6
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(
1
+
5
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(
6
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1
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+
(
6
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5
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B.
(
6
×
7
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=
6
×
(
4
+
4
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=
(
6
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4
)
+
(
6
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4
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C.
(
6
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7
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=
6
×
(
3
+
4
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=
(
6
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3
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+
(
6
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4
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8,567 8,657

we can be anything in life

what is the answer

The answer is 45

To solve this problem, we can use a system of equations. Let's assume that the number of pigs is represented by 'p' and the number of chickens is represented by 'c'.

We are given that the total number of animals is 66:
p + c = 66 ----(Equation 1)

We are also given that the total number of legs is 174. Since each pig has 4 legs and each chicken has 2 legs, we can write this as:
4p + 2c = 174 ----(Equation 2)

Now, we can solve this system of equations to find the value of 'p'.

First, let's solve Equation 1 for one variable (p or c):
p = 66 - c

Now, substitute this value of p into Equation 2:
4(66 - c) + 2c = 174

Simplify and solve for c:
264 - 4c + 2c = 174
-2c = 174 - 264
-2c = -90
c = -90 / -2
c = 45

Now, substitute this value of c back into Equation 1 to find p:
p + 45 = 66
p = 66 - 45
p = 21

Therefore, the farmer has 21 pigs.

p+c = 66

4p+2c = 174
now crank it out.