The school that Stefan goes to is selling tickets to a choral performance on the first day of ticket sales the school sold three

Question

3 years ago

9

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

Mathematics

1 answer:

Serggg [28] · Answer 1 · 2022-06-28T19:24:28+03:00

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

$3 \times x + 1 \times y = 38$

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

$3 \times x + 2 \times y = 52$

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

Solve eqn 1 and eqn 2

Subtract eqn 1 from eqn 2

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

Substitute y = 14 in eqn 1

3x + y = 38

3x + 14 = 38

3x = 24

Thus the price of 1 senior citizen ticket is $ 8