Question

The school that Adam goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 5 senior citizen tickets and 15 student tickets for a total of $137.50. The school took in $430 on the second day by selling 20 senior citizen tickets and 44 student tickets. Find the price of a student ticket.

Answer 1

Let the price of one senior citizen ticket be sc and the price of one student ticket be st.

Let's write equations using the information given and the variables above:

=> 5sc + 15st = $137.50

=> 20sc + 44st = $430

Hmm.. We can multiply 5sc by 4 to get 20sc.

=> 4(5sc) + 4(15st) = 4($137.50)

=> 20sc + 60st = $550

Now we can subtract the second equation from the first to determine the price of a student ticket.

20sc + 60st = $550

- 20sc + 44st = $430

=> 16st = $120

=> st = $7.5

So, the price of a student ticket is $7.5.