Answer:
Problem can not be solved
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