Question

Tickets for a soccer game are $6 for adults and $4 for students. At the last

game there were 220 tickets sold and $1064 collected. How many adult tickets
were sold.

Answer 1

There were 92 adult tickets sold at the soccer game. This was determined by setting up a system of equations based on the number of tickets sold and the total amount collected, then solving it using the elimination method.

Step-by-step explanation:

To solve how many adult tickets were sold at the soccer game, we can use a system of equations. Let A represent the number of adult tickets and S represent the number of student tickets. We are given two pieces of information that can be translated into equations:

1. The total number of tickets sold was 220: A + S = 220.
2. The total amount of money collected was $1064: 6A + 4S = 1064.

We can solve this system of equations using substitution or elimination. Let's use elimination. First, multiply the first equation by 4 to match the coefficient of S in the second equation:

4A + 4S = 880 (Equation 3)

Now we can subtract the second equation from this new Equation 3:

4A + 4S - (6A + 4S) = 880 - 1064

Which simplifies to -2A = -184

Now, divide both sides by -2 to find that A = 92.

Therefore, 92 adult tickets were sold.