70 tickets were sold to students and 130 tickets were sold to adults
Solution:
The total number of tickets sold is 200 for a college game
The price of ticket for student is $4.50 and
The price of ticket for adult is $9.00
The total amount was $1485
So, let the number of ticket sold to student be ‘a’
And the number of ticket sold to adult be ‘b’
The equation can be formed as follows:-
a + b = 200 ------ eqn 1
4.50a + 9b = 1485 ------- eqn 2
Multiplying equation (1) by 9 and subtracting from (2) , we get
(9a + 9b) - (4.50a + 9b) = 1800 – 1485
9a – 4.50a = 315
4.50a = 315
a = 70
Substituting value of “a” in equation (1), we get
b = 130
Hence, 70 tickets were sold to students and 130 tickets sold given to adults
