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28 December, 05:29

The number of candies consumed varies inversely with the number of children present. When 12 children are present, 140 pieces of candy are consumed. Therefore, when 8 children are present,___pieces of candy are consumed

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  1. 28 December, 05:39
    0
    Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).

    Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.

    Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).

    "When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.

    xy = k

    (12) (140) = k

    1680 = k

    Now, when x = 8 children,

    8y = 1680

    y = 210
  2. 28 December, 05:55
    0
    Blank Is:

    8y = 1,680

    y = 210
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