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14 August, 01:07

Maintenance, which was about 18 of the total budget less than it spent on administrative personnel. The amount spent on administrative personnel was about 18 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. 14 August, 03:19
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    the remaining budget for other expenses = 1/8 of the total budget

    Explanation:

    Since the city's administrative personnel expenses are 1/8 larger than both maintenance expenses and safety expenses, it means that safety expenses are equal to maintenance expenses.

    Since maintenance expenses are 1/4 of the total budget, safety expenses are also 1/4 of the total budget.

    Administrative personnel expenses are 1/8 higher, so that means that they equal 1/4 + 1/8 of the total expenses.

    If we add the three categories = 1/4 + 1/4 + (1/4 + 1/8) = 7/8

    So the remaining budget for other expenses = 1 - 7/8 = 1/8 of the total budget
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