Please helppppp

Question

A total of 597 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

Hi, So we’re going start with what we know:

1. We know that there’s 597 tickets.
2. We know that adult(x) tickets and student(y) tickets add up to 597 ticket.
3. We know that there are 53 fewer student tickets then adult tickets.

So now we use that information to make an equation. Two actually, where x represents adult and y represents student:

x + y = 597

y = x - 53

Now we’re going to plug in the second equation in the first one

x + (x - 53) = 597

Now solve

x + x - 53 = 597 Add x. They are like terms

2x - 53 = 597 Add 53 on both sides.

+ 53 + 53

2x = 650 Divide 2 on both sides.

/2 /2

x = 325

So 325 adult tickets were sold for the school play.