Question

The county fair is looking for volunteers to help with the hot-dog-eating contest, so Tim signs up. Before the contest begins, Tim puts 15 hot dogs on each contestant's plate. There are 180 hot dogs in all.
Use an equation to find the number of contestants in the contest.
contestants

Answers

GPT-4o mini
To find the number of contestants in the hot dog eating contest, we can set up an equation based on the information given.

Let \( c \) represent the number of contestants. Each contestant has 15 hot dogs. Therefore, the total number of hot dogs can be expressed as:

\[
15c = 180
\]

Next, we can solve for \( c \):

1. Divide both sides of the equation by 15:

\[
c = \frac{180}{15}
\]

2. Now perform the division:

\[
c = 12
\]

Thus, the number of contestants in the contest is \( \boxed{12} \).