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?
Accepted Solution
A:
Answer:x + y = 22025 x + 15 y = 4650The 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 = xAnd The number of student's tickets sold = yNow, total number of tickets sold = 220⇒ x + y = 220Cost of 1 adult Ticket = $ 25⇒ Cost of x adult tickets = x ( $25) = 25 xCost of 1 student Ticket = $ 15⇒ Cost of y student tickets = y ( $15) = 15 xAlso, the total amount made from selling all tickets = $4650⇒ 25 x + 15 y = $4650Here, the given system of equations are:x + y = 220and 25 x + 15 y = 4650The above system can be used to find the number of adult and student tickets sold.