Optimizing Amusement Park Rides
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Optimizing Amusement Park Rides

Created by
@RapturousDerivative

Questions and Answers

What is the fee for riding attraction A?

  • 3500 won
  • 2000 won
  • 3000 won (correct)
  • 2500 won
  • How many minutes does it take to ride attraction A?

  • 5 minutes (correct)
  • 3 minutes
  • 6 minutes
  • 4 minutes
  • If you ride attraction B twice and attraction A three times, what will be the total cost?

  • 15500 won
  • 17000 won
  • 16500 won (correct)
  • 16000 won
  • What is the sum of the time spent on both attractions if you ride attraction A once and attraction B four times?

    <p>18 minutes</p> Signup and view all the answers

    What is the maximum number of times you can ride attraction A within a total of five rides if the total cost must be less than 18000 won?

    <p>5 times</p> Signup and view all the answers

    Study Notes

    Problem Statement

    • The table represents the prices and riding times of amusement park rides A and B.
    • The goal is to ride both A and B rides a total of 5 times within 30 minutes.
    • The target is to minimize the total price, which should be less than 18000 won.

    Ride Information

    • Ride A: 3000 won, 5 minutes
    • Ride B: 2500 won, 4 minutes

    Let's Use Math!

    • Let x be the number of times ride A is taken and y be the number of times ride B is taken.
    • Time condition: 5x + 4y ≤ 30
    • Price condition: 3000x + 2500y < 18000
    • Use these two inequalities to solve the problem and find the maximum number of times ride A can be taken.

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    Quiz Team

    Description

    Determine the maximum number of times to ride A within 30 minutes to stay under the budget of 18000 won, considering the cost and riding time of two amusement park rides A and B.

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