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

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