A theater charges $49 for adult tickets and $29 for each student tickets. One Saturday night, it sold 450 tickets. The total ticket sales that night were $16,050. How many student tickets were sold?

Question

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Answer 1

Let x be the number of adult tickets cost of an adult ticket = $49

Let y be the number of student tickets cost of a student ticket = $29

Setting up the system of linear equations using the given values:

49x + 29y = 16050

x + y = 450

Solving the system of equations for x and y using elimination:

(-29) x + y = 450 (-29)

-29 x -29 y = - 13050

49 x +29 y = 16050 (add the two equations to eliminate y)

20 x = 3000

x = 150 (number of adult tickets sold

150 + y = 450

y = 300 (number of student tickets sold)

Answer 2

a represents the number of adult tickets

450 - a represents the number of student tickets

49a + 29(450 - a) = 16050

Can you solve for a and answer?