Elimination Ticket Sale Equation

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 receipts were $1740, how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution

• Elimination

• Graphing

• None of these

Parkside is selling tickets for the annual play. On the first day of sales, they sold 3 adult tickets and 9 student tickets. They made $75. On the second day of sales, they sold 8 adult tickets and 5 student tickets and made $67. How much does an adult and a student ticket cost?

• An adult ticket costs $4 and a student ticket costs $7.

• An adult ticket costs $7 and a student ticket costs $4.

• An adult ticket costs $6 and a student ticket costs $3.

• An adult ticket costs $3 and a student ticket costs $6.

A school sells adult tickets and student tickets for a play. It collects $1,400 in total. The graph shows the possible combinations of the number of adult tickets sold and the number of student tickets sold. What does the vertical intercept (0, 200) tell us in this situation?

• It tells us the decrease in the sale of adult tickets for each student ticket sold

• It tells us the decrease in the sale of student tickets for each adult ticket sold

• It tells us that if no adult tickets were sold, then 200 student tickets were sold

• It tells us that if no student tickets were sold, then 200 adult tickets were sold

Should you use subtraction or addition to solve this system by elimination?

• subtraction

• addition

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

• Adult $13
  Child $5

• Adult $10
  Child $6

• Adult $8
  Child $16

• Adult $12
  Child $13

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 receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

The following equations relate the number of children (x) and adults (y) who bought tickets for a Thanksgiving dinner and the money collected in ticket sales. After solving the system, which of the following is true?

• There were 2200 adults at the event.

• There were 1500 adults at the event.

• There were 700 adults at the event.

• There were 5050 adults at the event.