Question

Tickets to a basketball game cost $4.00 for students and $6.00 for adults. Last night 350 people attended the game and $1700 was collected at the door for tickets. Write a system of equations that models the situation where s is the number of students and a is the number of adults attending the game.

A. 4s + 6a = 350 , s + a = 1700
B. 6a + 4s = 1700 , a + s = 350
C. 4a + 6s = 350, a + s = 1700
D. 4a + 6s = 1700 ,a + s = 350

Answer 1

The correct system of equations based on the given information is B. 6a + 4s = 1700, for the total money collected from tickets, and a + s = 350, for the total number of people attending the game.

Step-by-step explanation:

To model the situation with a system of equations where ‘s’ represents the number of students and ‘a’ represents the number of adults attending the basketball game, we have two pieces of information:

1. The total number of people that attended the game was 350.
2. The total amount collected from tickets was $1700.

The first piece of information gives us the equation for the total attendance:

s + a = 350

The second piece of information gives us the equation based on the ticket prices:

4s + 6a = 1700

So, the correct system of equations is:

B. 6a + 4s = 1700 , a + s = 350