Answer:
Each senior citizen ticket costs $7 and each child ticket costs $5.
Step-by-step explanation:
Let,
x be the price of each senior citizen ticket
y be the price of each child ticket
According to given statement,
x+4y=27 Eqn 1
6x+8y=82 Eqn 2
Multiplying Eqn 1 by 2
2(x+4y=27)
2x+8y=54 Eqn 3
Subtracting Eqn 3 from Eqn 2
(6x+8y)-(2x+8y)=82-54
6x+8y-2x-8y=28
4x=28
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{28}{4}\\x=7[/tex]
Putting x=7 in Eqn 1
7+4y=27
4y=27-7
4y=20
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{20}{4}\\y=5[/tex]
Hence,
Each senior citizen ticket costs $7 and each child ticket costs $5.
