Let ‘x’ be the price of adult ticket.
Let ‘y’ be the price of student ticket.
On the first day, 6 adult tickets and 16 student tickets were sold and the total ticket sales was $312.
that is: 6x+16y=312 ————equation 1
On the Second day, 7 adult tickets and 7 student tickets were sold and the total ticket sales was $189.
that is: 7x+7y=189 ————equation 2
that is: 7x+7y=189 ————equation 2
Solving equations 1 and 2,
Multiplying 1st equation with 7 on both sides:
7(6x+16y=312)
42x+112y=2184 ———equation 3
Multiplying 2nd equat with 6 on both sides:
6(7x+7y=189)
42x+42y=1134. ———-equation 4
Multiplying equation 4 with ‘-‘ (minus) on both sides:
-42x-42y=-1134
solving equation 3 and 4:
42x+112y=2184
-42x-42y=-1134
—————————-
70y=1050
y=1050/70
y=15
therefore, price of student ticket ‘y’ is $15.
now substitute this y value in any of the equations above to get x value.
lets take equation 2:
7x+7y=189
7x+7*15=189
7x+105=189
7x=189-105
7x=84
x=84/7=12
therefore, price of adult ticket ‘x’ is 12.