Question

A theater is selling tickets to a play. Adult tickets cost $8 each and children's tickets cost $5 each. They collect $275 after selling x adults tickets and y children's tickets. What does the point (30,7) mean in this situation.

Answer 1

Answer:

30 adult's tickets were sold and 7 children's ticket were sold.    

Step-by-step explanation:

We are given the following information in the question:

Cost of Adult's tickets = $8

Cost of Children's ticket = $5

Total money collected = $275

Let x be the number of adult's tickets sold and y be the number of children's ticket sold.

Then, we can write this in the form of equation:

$8x + 5y =275$

The point (30,7) means that 30 adults ticket were sold and 7 children's ticket were sold.

Putting these value in the equation:

$8x + 5y =275\\8\times 30 + 5\times 7 =240 + 35 = 275$

which is true.

Thus, 30 adult's tickets were sold and 7 children's ticket were sold.

Answer 2

Answer:

• 30 adult tickets
• 7 children's tickets

Step-by-step explanation:

x and y are defined as the numbers of adult's tickets and the number of children's tickets, respectively. So x=30 means 30 adult tickets; y=7 means 7 children's tickets.

Revenue from sales of those numbers of tickets would be $275.