there were 200 tickets sold for a college game. Tickets were $4.50 for students and $9.00 for adults. The total amount was $1485. How much of each ticket was sold. Show steps

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 gameThe price of ticket for student is $4.50 and  The price of ticket for adult is $9.00The total amount was $1485So, 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 – 14859a – 4.50a = 3154.50a = 315a = 70Substituting value of “a” in equation (1), we get  b = 130Hence, 70 tickets were sold to students and 130 tickets sold given to adults