Question

The Trailblazer basketball game was attended by 420 people. If adult tickets were sold for $5 and children's tickets were sold for $3 and the total revenue from ticket sales was $1,600 then how many adults and how many children attended the game?

Answer 1

To find the number of adults and children who attended the game, we can set up a system of equations. By solving this system of equations, we can determine the values of 'a' and 'c' - the number of adults and children, respectively.

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 adults who attended the game is represented by 'a' and the number of children is represented by 'c'.

We know that a + c = 420, since the total number of people who attended the game is 420.

We also know that the total revenue from ticket sales is $1,600. The revenue from adult tickets sold is 5a, and the revenue from children's tickets sold is 3c. So we can write the equation 5a + 3c = 1600.

We can use these two equations to solve for the values of 'a' and 'c'. Solving this system of equations will give us the number of adults and children who attended the game.