Question

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 equation 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 =

Explanation:

Step1: Define total cost components

The total cost is the sum of parking cost and ticket cost for \( x \) people. Parking is \(\$14\), and tickets are \(\$33.25\) per person. So the equation is \( 33.25x + 14 = 246.75 \).

Step2: Solve for \( x \)

Subtract 14 from both sides: \( 33.25x = 246.75 - 14 \)
\( 33.25x = 232.75 \)
Divide both sides by 33.25: \( x = \frac{232.75}{33.25} \)
\( x = 7 \)

Answer:

Equation: \( 33.25x + 14 = 246.75 \)