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9 August, 09:20

If 112 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $and total receipts for the concert was $231.00, how many of each went to the concert?

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Answers (2)
  1. 9 August, 11:01
    0
    70 adults

    42 children

    Step-by-step explanation:

    A + C = 112

    A = 112 - C

    2.25A + 1.75C = 231

    2.25 (112 - C) + 1.75C = 231

    252 - 2.25C + 1.75C = 231

    21 = 0.5C

    C = 42

    A = 112 - C

    A = 112 - 42

    A = 70
  2. 9 August, 12:07
    0
    42 child and 70 adult

    Step-by-step explanation:

    Let a = number of adult tickets

    c = number of child tickets

    a+c = 112

    2.25a + 1.75c = 231

    Solve the first equation for a

    a = 112-c

    Substitute this into the second equation

    2.25 (112-c) + 1.75c = 231

    Distribute

    252 - 2.25c + 1.75c = 231

    Combine like terms

    252 -.5c = 231

    Subtract 252 from each side

    252-252 -.5c = 231-252

    -.5c = - 21

    Divide each side by -.5

    -.5c/-.5 = - 21 / -.5

    c = 42

    Now can find a

    a = 112-c

    a = 112-42

    a = 70
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