Question

22,173 Learners found this answer helpful

1. a group of friends wants to go to the amusement park. they have $357 to spend on parking and admission. parking is $6, and tickets cost $29.25 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.

Explanation:

Step1: Define the total cost

The total cost is the sum of parking cost and the total ticket cost for \( x \) people. Parking cost is \( \$6 \), and ticket cost per person is \( \$29.25 \), so total ticket cost is \( 29.25x \). The total money they have is \( \$357 \). So the equation is \( 6 + 29.25x = 357 \).

Step2: Solve for \( x \)

Subtract 6 from both sides: \( 29.25x = 357 - 6 = 351 \). Then divide both sides by 29.25: \( x=\frac{351}{29.25} = 12 \).

Answer:

The equation is \( 6 + 29.25x = 357 \), and the number of people \( x = 12 \).