Question

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?

Answer 1

There were 250 adult tickets sold for the school play. This conclusion was reached by setting up an equation to represent the total tickets sold and solving for the number of adult tickets.

Step-by-step explanation:

The question is asking us to find out how many adult tickets were sold for a school play given that there were 556 tickets sold in total and there were 56 more student tickets sold than adult tickets. Let's define the number of adult tickets as 'A' and the number of student tickets as 'A + 56' since there are 56 more student tickets than adult tickets. We can set up the equation: A + (A + 56) = 556.

Solving for A gives us:

1. A + A + 56 = 556
2. 2A + 56 = 556
3. 2A = 556 - 56
4. 2A = 500
5. A = 250

Therefore, 250 adult tickets were sold for the school play.

Answer 2

Adult tickets sold = 250

Step-by-step explanation:

Adult tickets sold = x

Student tickets sold = x + 56

The sum of all tickets, then, is:

`(x)+(x+56)=556`

Combining like terms:

`2x+56=556`

Subtracting 56 from both sides:

`2x=500`

Dividing both sides by 2:

`x=250`

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