Problema Solution

Adult tickets for the game cost $4.00 each and student tickets cost $2.00 each. A total of 920 tickets worth $2446 were sold. How many student tickets were sold?

Answer provided by our tutors

x adult tickets were sold $4 each

y student tickets were sold at $2 each


so lets form 2 linear equations .

total earned money : 4x + 2y = 2446 --(1)

total tickets sold : x + y = 920 --(2)



from (2) , x=920-y

subst. (2) to (1)


4(920-y)+2y=2446

3680 -4y + 2y = 2446

3680-2446=2y

1234 = 2y

617 = y

( 617 student tickets were sold )