Answer:
the remaining budget for other expenses = 1/8 of the total budget
Step-by-step 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