Question

The athletes at the TCDSB sold 770 tickets to the hockey game for a total of $6320. Students paid $6 per ticket, and parents paid $10. How many students and parents attended the game?

a) 350 students and 420 parents attended the game.
b) 420 students and 350 parents attended the game.
c) 385 students and 385 parents attended the game.
d) 400 students and 370 parents attended the game.

Answer 1

To find the number of students and parents who attended the game, we can set up a system of equations using the given information. By solving this system of equations, we find that 345 students and 425 parents attended the game.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations using the given information. Let's assume that the number of students who attended the game is S and the number of parents who attended is P.

We are told that the athletes sold a total of 770 tickets, so we can write the equation S + P = 770.

We are also told that the total revenue from ticket sales was $6320. The students paid $6 per ticket and the parents paid $10 per ticket, so we can write the equation 6S + 10P = 6320.

We can now solve this system of equations to find the values of S and P.

Multiplying the first equation by 6, we get 6S + 6P = 4620. Subtracting this equation from the second equation, we get 4P = 1700. Dividing both sides by 4, we find that P = 425. Substituting this value into the first equation, we find that S = 345.

Therefore, 345 students and 425 parents attended the game.