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

a + s = 220

25a + 15s = 4,650

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x + y = 220

25x + 15y = 4,650

Answer 2

x + y = 220

25 x + 15 y = 4650

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

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.