Question

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?

Answer 1

Answer:

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.