At the movie theatre, child admission is 5.10 and adult admission is 8.30 . On Tuesday, 139 tickets were sold for a total sales of 361.70

Question

. How many adult tickets were sold that day?

Answer 1

a = number adult tickets

c = number child tickets

 

139 tickets were sold:

a + c = 139 _____ equation 1

 

Ticket revenue was $361.70:

8.3a + 5.1c = 361.7 

Multiply through by 10 to simplify decimals

83a + 51c = 3617 _____ equation 2

 

In equation 1 solve for c:

c = 139-a

 

Substitute that into equation 2 and solve for a:

 

83a + 51(139-a) = 3617

Solve for a.