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QuestionIn a field with 33 heads and 88 feet, find the number of pigs and chickens.

Studdy Solution

STEP 1

Assumptions1. Each pig has1 head and4 feet. . Each chicken has1 head and feet.
3. The total number of heads counted is33.
4. The total number of feet counted is88.

STEP 2

We can set up two equations based on the assumptions. Let's denote the number of pigs as $$ and the number of chickens as $C$.
The first equation is based on the total number of heads+C=33 + C =33The second equation is based on the total number of feet4+2C=884 +2C =88

STEP 3

We can simplify the second equation by dividing each term by22+C=442 + C =44

STEP 4

Now we have two equations with two variables+C=33 + C =332+C=442 + C =44

STEP 5

Subtract the first equation from the second equation to solve for (2 + C) - ( + C) =44 -33$$

STEP 6

implify the left side of the equation=44−33 =44 -33

STEP 7

Calculate the value of =11$$

STEP 8

Now that we have the number of pigs, we can substitute into the first equation to solve for $C11+C=3311 + C =33$

STEP 9

Subtract11 from both sides of the equation to solve for CCC=33−11C =33 -11

STEP 10

Calculate the value of CCC=22C =22So, there are pigs and22 chickens in the field.

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