Question

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket (x) and the price of a child ticket (y).  

Write the system of two equations using the variables given, then solve the system using any of the methods we learned this week involving algebraic methods. Show ALL work.

Answer 1

Let price of senior citizen ticket = x

Price of adult ticket is = y

So price of 3 senior ticket and 1 child ticket = $38

So we can write

......................................................(i)

Price of 3 senior ticket and 2 child ticket = $52

So we can write

.....................................................(ii)

On subtracting eqn (ii) and eqn(i)

On plugin value of y in eqn (i)

So price of senior citizen ticket is = $8

Price of child ticket is = $14.