Question

You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?

Answers

  1. The 1 dollars found near the table by your friend is likely the money for the tickets.

    How to find if the money belong to the ticket money?

    You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets.
    let
    x = number of individual ticket
    y = number of couple tickets = 2x
    Therefore, using equation,
    2x(10) + 6x = 1075
    2x + x = 195
    Hence,
    20x + 6x  = 1075
    3x = 195
    x = 195 / 3
    x = 65
    Hence,
    26x = 1075
    26(65) = 1690
    Therefore, the money on the table is the ticket money because the money is short of the amount of the tickets in dollars.
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