Question

On Tuesday, 525 people bought tickets to the county fair. Tickets cost $7 for adults and $3 for children. The total revenue from ticket sales on Tuesday was $2775. The system of equations below represents the number of people and total sales for the county fair on Tuesday, where x represents the number of child tickets and y represents the number of adult tickets.

How many adult tickets were sold on Tuesday?

A.340
B.280
C.225
D.300

Answer 1

By solving the system of equations representing the number of child and adult tickets sold at the county fair, we find that the number of adult tickets sold is 300.

Step-by-step explanation:

To determine how many adult tickets were sold on Tuesday at the county fair, we use the given system of equations representing the number of child tickets (x) and adult tickets (y):

1. The total number of tickets sold is 525, which gives us the equation x + y = 525.
2. The total revenue from ticket sales is $2775. Since tickets cost $7 for adults and $3 for children, we have the revenue equation 7y + 3x = 2775.

By solving the system of equations, we can find the value for y, the number of adult tickets. Subtracting 3x from both sides of the second equation, we get 7y = 2775 - 3x. Knowing from the first equation that x = 525 - y, we can substitute (525 - y) in place of x to get 7y = 2775 - 3(525 - y).

Simplifying the equation, we have:

7y = 2775 - 1575 + 3y

7y - 3y = 1200

4y = 1200

y = 1200 / 4

y = 300

Therefore, the number of adult tickets sold on Tuesday is 300, which is option D.

Answer 2

you need to look at this chart The system of equations below represents the number of people and total sales for the county fair on Tuesday, where x represents the number of child tickets and y represents the number of adult tickets. you need to take the amount of money you get for adult tickets only then divid it by seven and that is you answer