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31 March, 20:33

Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 times as many calls as the first evening. The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?

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Answers (2)
  1. 31 March, 21:21
    0
    1st dia - 25 calls

    2nd dia - 16 calls

    3rd dia - 75 calls
  2. 31 March, 23:24
    0
    First day - 25 calls

    Second day - 16 calls

    Third day - 75 calls

    Step-by-step explanation:

    You need to set variables and create system of equations first.

    First evening = x

    Second evening = y

    Third evening = z

    x+y+z=116

    z=3x

    y=x-9

    Now you plug in the values into the equation x+y+z=116

    x + (x-9) + (3x) = 116

    5x-9=116

    5x=125

    x=25

    You plug in the value of x into the other equations.

    x = 25

    z = 3 * (25) = 75

    y = (25-9) = 16

    Rearrange so it corresponds with days ...

    First day - 25 calls

    Second day - 16 calls

    Third day - 75 calls
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