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18. a group of friends wants to go to the amusement park. they have $35…

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

分类: algebra 更新时间: 2026-02-07

题目

  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.

解题步骤

  1. Understand the question
    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.
  2. 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: \( x=\frac{351}{29.25} = 12 \).

  3. Final answer

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

答案

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 \( x = 12 \).

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Question Analysis

Subject business
Sub Subject finance
Education Level high school
Difficulty unspecified
Question Type calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-07T17:19:58

OCR Text

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18. 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.

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