Question

A total of 430 tickets were sold for the school play . They were either adult tickets or student tickets . There were 70 fewer student tickets sold than adult tickets .How many adult tickets were sold?

Answer 1

To find the number of adult tickets sold, we set up a system of equations with two variables representing the number of adult and student tickets. By solving these equations, we find that 250 adult tickets were sold.

Step-by-step explanation:

The question requires solving a system of equations to find out how many adult tickets were sold for the school play when a total of 430 tickets were sold, and there were 70 fewer student tickets than adult tickets.

Let's define:

A as the number of adult tickets,

S as the number of student tickets.

According to the problem, the following two equations can be set up:

A + S = 430 (because the total number of tickets is 430),

S = A - 70 (because there are 70 fewer student tickets than adult tickets).

Replace S in the first equation with the expression from the second equation:

A + (A - 70) = 430

Combine like terms:

2A - 70 = 430

Add 70 to both sides:

2A = 500

Divide both sides by 2:

A = 250

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

Answer 2

So first we assume that half is adult and have is student.

So
215 adult 215 student

Now since it said they were 70 less student tickets than adult tickets we subtract 70.
215 - 70 = 145

Now we add the 70 we subtracted from student tickets to the adult tickets.
215 + 70 = 285

So there were
285 adult tickets sold and 145 student tickets sold

I hope this helped. Have a great day!