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25 June, 16:28

A city spent about 1/4 of its budget on buildings and maintenance, which was about 1/8 of the total budget less than it spent on administrative personnel. The amount spent on administrative personnel was about 1/8 of the budget more than was spent on public safety. About what part of the budget was left for other expenses?

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  1. 25 June, 16:49
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    1/8 of the budget was left for other expenses.

    Step-by-step explanation:

    1/4 of the budget - buildings and maintenance.

    Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.

    Therefore:

    3/8 of the budget - administrative personnel.

    Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.

    For other expenses:

    1 - (1/4 + 3/8 + 1/4) = 1 - (2/8 + 3/8 + 2/8) 1 - 7/8 = 1/8

    Finally, 1/8 of the total budget was for the other expenses.
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