Ask Question
25 January, 04:53

tickets sold in advance cost $3. Tickets sold at the door cost $5. If 100 tickets were sold for a total of $460, how many tickets were sold at the door?

+5
Answers (2)
  1. 25 January, 05:02
    0
    80 tickets

    Step-by-step explanation:

    Let x be the number of tickets that were sold at the door and y be the number of tickets that were tickets sold in advance. So we can write an equation for the total amount of money as:

    5x + 3y = 460 - - - (1)

    and equation for the number of tickets sold as:

    x + y = 100 - - - (2)

    From equation (2), we get y = 100 - x.

    Substituting this value of x in equation (1) to get:

    5x + 3 (100 - x) = 460

    5x + 300 - 3x = 460

    5x - 3x = 460 - 300

    2x = 160

    x = 80

    Therefore, 80 tickets were sold at the door.
  2. 25 January, 05:05
    0
    80 tickets

    Step-by-step explanation:

    Make tickets sold in advance be 3x and tickets sold at the door 5y. We will make a system of equations.

    Make the tickets sold in advance and sold at the door equal to the amount of 100 tickets.

    x + y = 100

    Now make the expressions for the amount of money the tickets cost equal to $460.

    3x + 5y = 460

    Solve for x in the first equation by subtracting y from both sides.

    x = 100 - y

    Substitute x into the second equation.

    3 (100 - y) + 5y = 460

    Distribute.

    300 - 3y + 5y = 460

    Simplify.

    300 + 2y = 460

    Subtract 300 from both sides.

    2y = 160

    Divide both sides by 2.

    y = 80

    Substitute 80 for y into the equation made for x (x = 100 - y).

    100 - (80) = 20

    Since the variable y represented the number of tickets sold at the door, then 80 tickets were sold at the door.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “tickets sold in advance cost $3. Tickets sold at the door cost $5. If 100 tickets were sold for a total of $460, how many tickets were sold ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers