Question

System of equations: A theater sells 300 tickets for a show. The student tickets cost $7 and the adult tickets cost $10. The total receipts for the show was $2,463. Use any method to determine how many student tickets were sold and how many adult tickets were sold. (Show work)

Answer 1

7x+10y=2463
10y=2463-7x
divide the entire equation by 10 to isolate variable y
y=246.3-7/10x
this is the equation for the line that will represent the possible outcomes for number of adult student tickets sold
the graph shows one possible outcome was 99 student tickets sold and 177 adult tickets sold but there are other possibilities as well, just remember that they have to be whole, real numbers, since those are the only applicable numbers to the word problem

Answer 2

Number of adult tickets sold = 121

Explanation:

Let x = number of student tickets and y = number of adult tickets sold

Then:-

x + y = 300..................(1) Also using the cost of the tickets:_

7x + 10y = 2463............(2)

Mutilply equation (1) by 10:0

10x + 10y = 3000..........(3)

Subtract the equations (3) - (2) :-

3x + 0 = 537

x = 537 / 3 = 179

So y = 300 - 179 = 121