a total of 556 tickets were sold for the school play. they were either adult tickets or student tickets. there were 56 more student tickets sold than adult tickets. how many adult tickets were sold?

Respuesta :

Answer:

Adult tickets sold = 250

Step-by-step explanation:

Adult tickets sold = x

Student tickets sold = x + 56

The sum of all tickets, then, is:

[tex](x)+(x+56)=556[/tex]

Combining like terms:

[tex]2x+56=556[/tex]

Subtracting 56 from both sides:

[tex]2x=500[/tex]

Dividing both sides by 2:

[tex]x=250[/tex]

Therefore, the adult tickets sold is x = 250 and the student tickets sold is x + 56 = 250 + 56 = 306.