Question

Lincoln High School Band performed two concerts to raise
money for a field trip. Tickets were $9 for adults and $4
for students and teachers. In total, 356 people attended
both concerts, and the orchestra raised $1978. The number
of adults who came was twice the number of students.
Which of the following systems can be used to represent
this situation?

Answer 1

The system of equations which could be used to model the scenario are :

• a + b = 356
• 9a + 4b = 1978

Cost of ticket :

• Adults, a = $9
• Students, b = $4

Total amount raised = $1978

Total number of attendees = 356

The system of equation which can be used to represent the situation :

Sum of adult and student tickets should add up to 356:

• a + b = 356 - - - - (1)

Total amount raised from ticket sale should equal $1978

• 9a + 4b = 1978 - - - - (2)

Therefore, the systems of equation which could be used to model the situation are :

• a + b = 356 and 9a + 4b = 1978

Learn more :https://brainly.com/question/24679938