Bayside High School Orchestra performed two concerts to raise money for a field trip. Tickets were $8 for adults and $5 for students and teachers. In total, 423 people attended both concerts, and the orchestra raised
$2616. The number of teachers who came was a third of the number of students. Which of the following
systems can be used to represent this situation?

Adults = 167

Students = 256

Teachers = 85

Step-by-step explanation:

Let:

S represents Students

A represents Adults

T represents Teachers

From the instructions in the question, we have that:

-- (1)

-- (2)

Make A the subject in (1)

Substitute for A in (2)

Open Bracket

Solve for S

Recall that

From the question, we understand that;

(Approximated)

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional