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Today, 12:27

Problem 81

Mr. and Mrs. Rick O'Shay and their

three children paid $105.00 for tickets to an

amusement park. If a single child's ticket was

one-half of an adult's ticket, how much did the

tickets cost?

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Answers (1)
  1. Today, 14:57
    0
    it hasn't been specified which ticket the question's is asking but I'm guessing the price of the adult ones so $30.00

    altogether that's two adults and 3 children who all paid a total of $105.00

    let's simplify that to algebra

    children tickets = c adults tickets = a

    3c + 2a = $105.00

    we know that 1c is 0.5a because each child ticket is half of an adults one as stated in the question

    so in terms of (adults) a: half of 3 meaning 3*0.5 = $1.5 meaning 1.5a

    so now 3c = 1.5a

    so we can substitute and have like terms

    meaning 1.5a + 2a = $105

    3.5a = $105.00

    divide by 3.5 on both sides to get a by itself thus the value of a:

    a = $30

    so each adult tickets cost $30
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