Annie is having her birthday party at the Circus Fest party venue this year. The Carnival party package costs $235 and covers the entrance fee for guests, a private party room, and face painting. Annie's parents upgraded her package to include a favor for each of her 6 guests, bringing the total to $277.

Question

Which equation can you use to find f, the cost of each favor?
235f + 6 = 277
6f + 235 = 277
235(f + 6) = 277
6(f + 235) = 277

Answer 1

To find the cost of each favor \( f \), you know that the base cost of the Carnival party package is $235, and the total cost including the favors for 6 guests is $277.

This means that the total cost is comprised of the base package cost plus the total cost of the favors for the 6 guests. Therefore, you can set up the equation as follows:

\[ 235 + 6f = 277 \]

Now, rearranging for \( 6f \) gives:

\[ 6f = 277 - 235 \]

This simplifies the equation to:

\[ 6f = 42 \]

Now, the correct option among those provided is:

\[ 6f + 235 = 277 \]

So the answer is:

6f + 235 = 277