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 that represent this situation is:

$x + y + z = 356$

$9x + 4y + 4z = 1978$

$x = 2y$

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For our system, we say that:

• x is the number of adults.
• y is the number of students.
• z is the number of teachers.

Total of 356 people, thus:

$x + y + z = 356$

$9 for adults, $4 for students and teachers, total of $1978. Thus:

$9x + 4y + 4z = 1978$

Adults twice the number of students, thus:

$x = 2y$

The system is:

$x + y + z = 356$

$9x + 4y + 4z = 1978$

$x = 2y$

A similar problem is given at https://brainly.com/question/24823220