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  

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

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answer: 5

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