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# If a city allocates 20 percent of its budget to the police and fire de

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Math Expert
Joined: 02 Sep 2009
Posts: 56307
If a city allocates 20 percent of its budget to the police and fire de  [#permalink]

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09 Apr 2018, 01:55
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97% (00:45) correct 3% (00:55) wrong based on 51 sessions

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If a city allocates 20 percent of its budget to the police and fire departments, 35 percent to roads and infrastructure, and 10 percent to parks and recreation, what fraction of its budget remains for other allocations?

A. 3/10

B. 7/20

C. 9/20

D. 11/20

E. 13/20

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Joined: 05 Mar 2018
Posts: 31
Re: If a city allocates 20 percent of its budget to the police and fire de  [#permalink]

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09 Apr 2018, 02:58
20 + 35 + 10 = 65%

So 7/20 is 35% remaining for other allocations

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Re: If a city allocates 20 percent of its budget to the police and fire de  [#permalink]

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10 Apr 2018, 17:17
Bunuel wrote:
If a city allocates 20 percent of its budget to the police and fire departments, 35 percent to roads and infrastructure, and 10 percent to parks and recreation, what fraction of its budget remains for other allocations?

A. 3/10

B. 7/20

C. 9/20

D. 11/20

E. 13/20

We can let the total budget = 100 and we see that a total of 20 + 35 + 10 = 65 is allocated to all that is given. So the remainder is 100 - 65 = 35, i.e., 35/100 = 7/20 of the budget is allocated to other items.

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Re: If a city allocates 20 percent of its budget to the police and fire de   [#permalink] 10 Apr 2018, 17:17
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# If a city allocates 20 percent of its budget to the police and fire de

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