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27 January, 16:57

Over the last three evenings, Latoya received a total of 79 phone calls at the call center. The first evening, she received 6 fewer calls than the third evening. The second evening, she received 3 times as many calls as the third evening. How many phone calls did she receive each evening?

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  1. 27 January, 19:17
    0
    We need to represent the numbers of calls symbolically:

    Third evening: x calls

    First eve: x-6 calls

    Second evening: 3x calls

    Find x. Add up these three numbers x, x-6 and 3x and equate your sum to 79:

    x+x-6+3x = 79. Then 5x=79+6, or 5x = 85. Thus, x = 17.

    17 calls on the 3rd night,

    17-6 calls on the 1st night, and

    3 (17) = 51 calls on the 2nd night.

    Check! Add together 17, 11 and 51. Do these add up to 79? Yes.
  2. 27 January, 19:51
    0
    The first evening she received 15.2 calls. The second night she received 42.6. The third evening she received 21.2
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