Question

Bayside High School Orchestra performed two concerts to raise money for a field trip. Tickets were $8 for

Answer 1

Answer:

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:

$A + S = 423$ -- (1)

$8A + 5S = 2616$ -- (2)

Make A the subject in (1)

$A + S = 423$

$A = 423 - S$

Substitute $423 - S$ for A in (2)

$8A + 5S = 2616$

$8(423 - S) + 5S = 2616$

Open Bracket

$3384 - 8S + 5S = 2616$

$3384 -3S = 2616$

Solve for S

$-3S = 2616 - 3384$

$-3S = -768$

$S = -768/-3$

$S = 256$

Recall that $A = 423 - S$

$A = 423 - 256$

$A = 167$

From the question, we understand that;

$T = \frac{1}{3}S$

$T = \frac{1}{3} * 256$

$T = 85.333$

$T = 85$ (Approximated)