Question

A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?"

Let c represent the number of cows.

Which equation represents the situation?



Responses

[Math Processing Error]
2 left parenthesis c plus 2 right parenthesis equals 16

2c + 2 = 16
2 c + 2 = 16

[Math Processing Error]
2 c minus 2 equals 16

c + 2 = 16
c + 2 = 16

Answer 1

To solve the problem, let's first set up the relationships described.

Let \( c \) represent the number of cows. According to the problem statement, there are "2 more horses than cows," which means the number of horses can be represented as \( c + 2 \).

We also know that the total number of animals (cows and horses) is 16. So, we can express this relationship with the following equation:

\[
c + (c + 2) = 16
\]

Now, let's simplify this equation:

\[
c + c + 2 = 16 \\
2c + 2 = 16
\]

This gives us the correct equation that represents the situation.

Thus, the correct response is:

**2c + 2 = 16**.