IlCreatore wrote:

A hunting lodge has enough fuel to keep 20 rooms heated for fourteen days. If the lodge decides to save fuel by turning off the heat in 5 unoccupied rooms, and each room requires the same amount of fuel to heat it, how many extra FULL days will the fuel supply last?

(A) 3

(B) 4

(C) 5

(D) 18

(E) 19

Let's assign some "nice" values to this scenario.

Let's say that we're heating the rooms with firewood, and it takes

1 log to heat the room for 1 day.

A hunting lodge has enough fuel to keep 20 rooms heated for 14 daysSo, heating 20 rooms would require 20 logs/day.

So, in 14 days, the NUMBER of logs the lodge need to burn = (20)(14) =

280 In other words, the lodge has

280 logs

...the lodge decides to save fuel by turning off the heat in 5 unoccupied rooms, and each room requires the same amount of fuel to heat itSo, we will heat only

15 rooms, and each room burns

1 log per day.

So, the number of DAYS the logs will last =

280/

15 =

18 2/3 How many extra FULL days will the fuel supply last?Answer =

18 2/3 days - 14 days = 4 2/3 days

The question asks for FULL days, so turning off the heat to 5 rooms will extend the fuel supply by 4 FULL days.

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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