Question

Assigned Media Skill Builder - A community center sells a total of 298 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $490 in ticket sales. Find the number of each type of ticket sold. The number of adult tickets sold should be and the number of student tickets sold should be.

A) Adult tickets: 122, Student tickets: 176
B) Adult tickets: 176, Student tickets: 122
C) Adult tickets: 98, Student tickets: 200
D) Adult tickets: 200, Student tickets: 98

Answer 1

To find the number of adult and student tickets sold, set up a system of equations using the given information. Solve the system of equations to find the number of each type of ticket sold.

Step-by-step explanation:

To find the number of adult and student tickets sold, we can set up a system of equations based on the given information. Let's let 'A' represent the number of adult tickets and 'S' represent the number of student tickets. We have two equations:

We can solve this system of equations by substitution or elimination. Let's use elimination:

Multiplying equation 1 by 3, we get:

3A + 3S = 894 (equation 3)

Subtracting equation 2 from equation 3:

3A + 3S - (3A + S) = 894 - 490

2S = 404

S = 202

Now, we can substitute the value of S into either equation 1 or equation 2 to find the number of adult tickets sold. Let's substitute it into equation 1:

A + 202 = 298

A = 298 - 202

A = 96

Therefore, the number of adult tickets sold is 96 and the number of student tickets sold is 202.