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24 April, 14:50

During the first four months of the year, Jack earned $1270, $1150, $870 and $1450 If Jack must have an average salary of at least $1150 in order to earn retirement benefits, what must Jack earn in the fifth month in order to qualify for benefits?

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  1. 24 April, 17:11
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    1010

    Step-by-step explanation:

    There are a whole class of questions that rely on the method to this one.

    First add up what you know

    1270 + 1150 + 870 + 1450 = 4740

    Now add on the 5th month (which you don't know. Call it x)

    4740 + x

    Divide by 5

    (4740 + x) / 5 = 1150 and that is your equation

    Solution

    Multiply both sides by 5

    5 * (4740 + x) / 5 = 1150 * 5

    4740 + x = 5750

    Subtract 4740 from both sides

    4740 - 4740 + x = 5750 - 4740

    x = 1010

    Which seems kind of low, but that's what the numbers come to.
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