A group of friends wants to go to the amusement park. They have \( \$ 246.75 \) to spend on parking and admission. Parking is \( \$ 14 \), and tickets cost \( \$ 33.25 \) per person, including tax. Write and solve an eq which can be used to determine \( x \), the number of people who can go to the amusement park. Answer Attempt 1 out of 2 Equation: Answer: \( x= \)

To start, let's break down the costs. If parking is \( \$ 14 \) and admission is \( \$ 33.25 \) per person, the total cost for \( x \) people will be represented by the equation: \[ 14 + 33.25x = 246.75 \] Now, we can solve for \( x \). First, subtract the parking fee from the total amount: \[ 33.25x = 246.75 - 14 \] This simplifies to: \[ 33.25x = 232.75 \] Next, divide both sides by \( 33.25 \): \[ x = \frac{232.75}{33.25} \] Calculating that gives: \[ x = 7 \] So, the group of friends can take \( 7 \) people to the amusement park! Now, as a fun fact, most amusement parks have special deals for larger groups or families, so if your friends plan ahead, they might even find savings! Additionally, remember to check for any promotional days where admission might be discounted or even free for certain ages. Enjoy the rides!