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5 January, 18:53

A total of 1000 people attended a benefit concert was held to raise money for a children foundation. Student

ticket cost $2 and an adult ticket cost $3. If the organizer raises a total of $5500, how many students attended

the concert?

Write expression and answer

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Answers (1)
  1. 5 January, 19:46
    0
    Problem can not be solved

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - A total of 1000 people attended a benefit concert was held to raise

    money for a children foundation

    ∴ The number of students and adult is 1000

    - Student ticket cost $2 and an adult ticket cost $3

    ∴ The cost of the student ticket is $2

    ∴ The cost of the adult ticket is $3

    - The organizer raises a total of $5500

    ∴ The total money earns fro tickets is $5500

    - Assume that the number of students who attended the concert

    is x and the number of adults is y

    - There are 1000 students and adults attended the concert

    ∴ x + y = 1000 ⇒ (1)

    - The cost of student ticket is $2

    ∴ The money earned from students is 2 * x = 2x dollars

    - The cost of adult ticket is $3

    ∴ The money earned from adults is 3 * y = 3y dollars

    - The total money earned from students and adults is $5500

    ∴ 2x + 3y = 5500 ⇒ (2)

    * Now lets solve the two equation by elimination method

    - Multiply equation (1) by - 3 to eliminate y

    ∴ (-3) x + (-3) y = (-3) * 1000

    ∴ - 3x - 3y = - 3000 ⇒ (3)

    - Add equations (2) and (3)

    ∴ - x = 2500

    - Multiply both sides by - 1

    ∴ x = - 2500

    ∵ x represents the number of the students and never the number

    of student be negative, then the problem can not be solved
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