Question

Students and adults purchased tickets for a recent basketball playoff game. All tickets were sold at the ticket booth-season passes
were not allowed. Student tickets cost $5 each, and adult tickets cost $10 each. A total of $4500 collected and 700 tickets were sold.
write a system of equations that can be used to find the number of student tickets, s, and the number of adult tickets,a, that were sold the playoff game. Solve your system to find the number of tickets sold to each group​

Answer 1

Answer:

$\displaystyle 200\:adult\:tickets \\ 500\:student\:tickets$

Step-by-step explanation:

{700 = S + A

{4500 = 5S + 10A

−⅒[4500 = 5S + 10A]

{700 = S + A

{−450 = −½S - A >> New Equation

_____________

$\displaystyle \frac{250}{\frac{1}{2}} = \frac{\frac{1}{2}S}{\frac{1}{2}}$

$\displaystyle 500 = S$[Plug this back into both equations above to get the A-value of 200]; $\displaystyle 200 = A$

Answer 2

Answer:

all work is pictured and shown