The price of an adult ticket is 12$.
And the price of a student ticket is 9$.
Let ‘x’ be the price of an adult ticket.
Let ‘y’ be the price of a student ticket.
On the first day of ticket sales, the school sold 14 adult tickets and 3 student tickets for a total of $195 i.e
14x + 3y = 195$ i)
15x + 14y = 306$ ii)
from equation i) we get the value of y,
y = (195 - 14x)/3
put this value of y in equation ii) we get,
= 15x +14{(195 - 14x)/3} = 306
= (45x +2730 - 196x)/3 = 306
= (45x +2730 - 196x) = 918
= -151x = -1812
= x =12$
then value of y we get ,
put value of x in y,
y = (195 - 14*12)/3
= 27/3
= 9$
hence, the price of an adult ticket is 12$.
And the price of a student ticket is 9$.
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