Question

There are 220 tickets to a school's annual awards banquet. Each adult ticket, a, cost $25 in each student ticket, s, cost $15 every ticket is sold in the school makes $4,650. Which system of linear equations could be used to find the number of adult and student tickets sold?

Answer 1

Answer:

x + y = 220

25 x + 15 y =  4650

The above system can be used to find the number of adult and student tickets sold.

Step-by-step explanation:

Let us assume the number of Adult's ticket sold = x

And The number of student's tickets sold = y

Now, total number of tickets sold = 220

⇒ x + y = 220

Cost of 1 adult Ticket  = $ 25

⇒ Cost of x adult tickets =  x ( $25) = 25 x

Cost of 1 student Ticket  = $ 15

⇒ Cost of y student tickets =  y ( $15) = 15 x

Also, the total amount made from selling all tickets = $4650

⇒ 25 x + 15 y =  $4650

Here, the given system of equations are:

x + y = 220

and 25 x + 15 y =  4650

The above system can be used to find the number of adult and student tickets sold.