a baseball park charges $4.50 per admission ticket. the park has already sold 42 tickets. how many m

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    a baseball park charges $4.50 per admission ticket. the park has already sold 42 tickets. how many more tickets would they need to sell to earn at least $441?

    Let the number of tickets above 42 be t.

    A few things to note on this question:
    • The phrase at least means greater than or equal to, so we have an inequality.
    • Earnings = Price * Quantity

    We're given:
    Earnings = 4.50 * 42 + 4.5t >= 441
    Earnings = 189 + 4.5t >= 441

    We want to solve this inequality for t:

    Solve for t in the inequality 189 + 4.5t ≥ 441

    Step 1: Group constants:
    We need to group our constants 189 and 441. To do that, we subtract 189 from both sides
    4.5t + 189 - 189 ≥ 441 - 189

    Step 2: Cancel 189 on the left side:
    4.5t ≥ 252

    Step 3: Divide each side of the inequality by 4.5
    4.5t/4.5 ≥ 252.4.5
    t ≥ 56
     

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