Question

The school that Stefan goes to is selling tickets to a choral performance on the first day of ticket sales the school sold three senior citizen tickets and one child ticket for a total of $38 the school took and $52 on the second day by selling three senior citizen tickets and two child tickets find the price of senior citizen ticket

Answer 1

The price of 1 senior citizen ticket is $ 8

Solution:

Let "x" be the price of 1 senior citizen ticket

Let "y" be the price of 1 child ticket

The school sold three senior citizen tickets and one child ticket for a total of $38

Therefore, we frame a equation as:

three senior citizen tickets x price of 1 senior citizen ticket + one child ticket x price of 1 child ticket = 38

`3 * x + 1 * y = 38`

3x + y = 38 --------- eqn 1

The school took an $52 on the second day by selling three senior citizen tickets and two child tickets

Therefore, we frame a equation as:

three senior citizen tickets x price of 1 senior citizen ticket + two child ticket x price of 1 child ticket = 52

`3 * x + 2 * y = 52`

3x + 2y = 52 ---------- eqn 2

Solve eqn 1 and eqn 2

Subtract eqn 1 from eqn 2

3x + 2y - 3x - y = 52 - 38

y = 14

Substitute y = 14 in eqn 1

3x + y = 38

3x + 14 = 38

3x = 24

x = 8

Thus the price of 1 senior citizen ticket is $ 8