Question

problem-solving

9 a farmer has \\(x\\) pigs and \\(y\\) chickens.
a write an expression for the total number of heads.
b write an expression for the total number of legs.

Explanation:

Identify the given variables

We are given:

• Number of pigs: \(x\)
• Number of chickens: \(y\)

Model the total number of heads

Using the Algebraic Modeling knowledge point:

• Each pig has exactly \(1\) head.
• Each chicken has exactly \(1\) head.
• Therefore, the total number of heads is:

$$x + y$$

Model the total number of legs

Using the Algebraic Modeling knowledge point:

• Each pig has exactly \(4\) legs.
• Each chicken has exactly \(2\) legs.
• Therefore, the total number of legs is:

$$4x + 2y$$

Answer:

Question 9a

\(x + y\)

Question 9b

\(4x + 2y\)