the Town Theater received $22,540.75 by selling 435 tickets to the opening night of the play. if the full price of a ticket is $6.25 and dis

Question

the Town Theater received $22,540.75 by selling 435 tickets to the opening night of the play. if the full price of a ticket is $6.25 and discount tickets for students and seniors are $5.25 each how many full-price tickets were sold

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Mia 1 week 2021-09-15T01:39:32+00:00 2 Answers 0

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    0
    2021-09-15T01:41:00+00:00

    Answer:

    Full tickets sold were 257 in count and discounted tickets were 178.

    Step-by-step explanation:

    Let the full tickets be = f

    Let the discounted tickets be = d

    Total tickets sold = 435

    This can be written as :

    f+d=435 orf=435-d    …..(1)

    The full price of a ticket is $6.25 and discount price is $5.25 and total earning is $2540.75.

    In equation form, it can be written as :

    6.25f+5.25d=2540.75    ….(2)

    Substituting the value of f in (2)

    6.25(435-d)+5.25d=2540.75  

    2718.75-6.25d+5.25d=2540.75

    -1d=-178

    so , d = 178

    Andf+d=435

    So,f=435-178=257

    Hence, full tickets sold were 257 in count and discounted tickets were 178.

    0
    2021-09-15T01:41:04+00:00

    I tried solving the problem and it didn’t make sense until assuming that 22540.75 was a typo for 2540.75.

    Answer:

    2540.75 = 6.25x + 5.25y

    435 = x + y

    x = number of adult tickets

    y = number of student and senior tickets

    Question is asking to find x

    – – – – – – – – – – – – – – – – – –

    435 = x + y

    2283.75 = 5.25x + 5.25y

    Elimination method:

    2540.75 = 6.25x + 5.25y

    -(2283.75 = 5.25x + 5.25y)

    257 = x

    257 full priced tickets were sold.

    Please mark for Brainliest!!  😀 Thank you!!

    For any questions, please comment!!

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