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desert outpost has a water supply that is sufficient

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Joined: 07 Jun 2014
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desert outpost has a water supply that is sufficient [#permalink] New post 18 Jan 2016, 02:29
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Question Stats:

87% (01:34) correct 12% (02:45) wrong based on 16 sessions
A desert outpost has a water supply that is sufficient to last 21 days for 15 people. At the same average rate of water consumption per person, how many
days would the water supply last for 9 people?

A 28.0
B 32.5
C 35.0
D 37.5
E 42.0


Practice Questions
Question: 25
Page: 336
Difficulty: medium
[Reveal] Spoiler: OA

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Re: desert outpost has a water supply that is sufficient [#permalink] New post 18 Jan 2016, 04:54
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Solution


The water supply is enough for 15 people to survive 21 days. Assuming the same average rate of water consumption per person, 1 person would have enough
water to last for (15)(21)=315 days. Therefore, 9 people would have enough water for \(\frac{1}{9}\) of the 315 days, or 35 days. The correct answer is Choice C.
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Re: desert outpost has a water supply that is sufficient [#permalink] New post 17 May 2018, 05:56
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sandy wrote:
A desert outpost has a water supply that is sufficient to last 21 days for 15 people. At the same average rate of water consumption per person, how many
days would the water supply last for 9 people?

A 28.0
B 32.5
C 35.0
D 37.5
E 42.0


Let's assign a "nice value" to the amount of water that's available.
Let's first day that each person drinks 1 liter of water EACH DAY.
At that rate, the 15 people would drink a total of 15 liters EACH DAY.
So, in 21 days, they'd drink a total of 315 liters [since (15)(21) = 315].


Now let's see how long that 315 liters of water will last if there are only 9 people.
If each person drinks 1 liter of water EACH DAY, then the 9 people would drink a total of 9 liters EACH DAY.
So, the number of days it takes to drink all 315 = 315/9 = 35

Answer: C

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Brent
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Re: desert outpost has a water supply that is sufficient [#permalink] New post 05 May 2019, 03:30
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sandy wrote:
A desert outpost has a water supply that is sufficient to last 21 days for 15 people. At the same average rate of water consumption per person, how many
days would the water supply last for 9 people?

A 28.0
B 32.5
C 35.0
D 37.5
E 42.0


Practice Questions
Question: 25
Page: 336
Difficulty: medium


Let's say the number of days required by 9 people be = x days

We can infer

\(9 * x = 15 * 21\) ( 15*21 = the total consumption)

or \(x\) = \(\frac{{15*21}}{9}\) = 35 days
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Re: desert outpost has a water supply that is sufficient   [#permalink] 05 May 2019, 03:30
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