Question

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total amount received was $1740, how many adult tickets were sold?

Answer 1

To find the number of adult tickets sold, set up a system of equations and solve for the number of adult tickets. Using the elimination method, the number of adult tickets is found to be 150.

Step-by-step explanation:

To find the number of adult tickets sold, we can set up a system of equations. Let x represent the number of student tickets and y represent the number of adult tickets. From the given information, we know that x + y = 530 (equation 1) and 3x + 4y = 1740 (equation 2).

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

Multiplying equation 1 by 3, we get 3x + 3y = 1590 (equation 3).

Subtracting equation 3 from equation 2, we get 4y - 3y = 1740 - 1590, which simplifies to y = 150.

Therefore, 150 adult tickets were sold.