Optimizing Amusement Park Rides

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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 (D)</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 (B)</p> Signup and view all the answers

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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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