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# Pat bought 5 pounds of apples. How many pounds of

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Pat bought 5 pounds of apples. How many pounds of [#permalink]

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14 Nov 2012, 06:36
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Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?
1) 1 pound of pears cost $0.5 more that 1 pound of apples 2) 1 pound of pears cost 1.5 times as much as 1 pound of apples [Reveal] Spoiler: OA B [Reveal] Spoiler: OA Director Status: Tutor - BrushMyQuant Joined: 05 Apr 2011 Posts: 552 Location: India Concentration: Finance, Marketing Schools: XLRI (A) GMAT 1: 570 Q49 V19 GMAT 2: 700 Q51 V31 GPA: 3 WE: Information Technology (Computer Software) Followers: 85 Kudos [?]: 451 [0], given: 52 Re: Pat bought 5 pounds of apples. How many pounds of [#permalink] ### Show Tags 14 Nov 2012, 10:48 Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money? 1) 1 pound of pears cost$0.5 more that 1 pound of apples
2) 1 pound of pears cost 1.5 times as much as 1 pound of apples

We need a relationship between price of pears and that of apples to solve the question.

STAT1
1p = 0.5 + 1a
But this relationship is not sufficient to answer because
price of 5 pounds of apples = 5p = 5*0.5 + 5a but we cannot tell for sure about the exact pounds of apples we can buy

STAT2
1p = 1.5*1a
This relationship is sufficient because
price of 5 pounds of apples = 5p = 5*1.5 *1a= 7.5a
so we know for sure that we can buy 7.5 pounds of apples with the same money.

Hope it helps!
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Re: Pat bought 5 pounds of apples. How many pounds of [#permalink]

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03 Jan 2015, 21:16
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Re: Pat bought 5 pounds of apples. How many pounds of [#permalink]

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04 Jan 2015, 13:26
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Hi All,

In these types of DS questions, if you're sure if a pattern exists or not, you can prove it by TESTing VALUES and being thorough. Here's how:

We're told that Pat bought 5 pounds of apples. We're asked how many pounds of pears could have been purchased with the same amount of money.

**Note: I'm going to assume that both the cost per pound of apples and the cost per pound of pears remains constant.**

Fact 1: 1 pound of pears costs $0.5 more than 1 pound of apples. IF.... A pound of apples cost$1, then a pound of pears costs $1.50 5 pounds of apples =$5
$5 =$1.50(X pounds of pears)
X = 3 1/3 pounds of pears

IF...
A pound of applies costs $.50, then a pound of pears costs$1
5 pounds of applies = $2.50$2.50 = $1(X pounds of pears) X = 2.5 pounds of pears The answer changes based on the starting price of a pound of applies. Fact 1 is INSUFFICIENT Fact 2: 1 pound of pears costs 1.5 times as much as 1 pound of apples IF... A pound of applies costs$1, then a pound of pears costs $1.50 5 pounds of applies =$5
$5 =$1.50(X pounds of pears)
X = 3 1/3 pounds of pears

A pound of applies costs $2, then a pound of pears costs$3
5 pounds of applies = $10$10 = $3(X pounds of pears) X = 3 1/3 pounds of pears A pound of applies costs$0.50, then a pound of pears costs $0.75 5 pounds of apples =$2.50
$2.50 =$0.75(X pounds of pears)
X = 3 1/3 pounds of pears

In EVERY situation, we end up with the SAME number of pounds of pears.
Fact 2 is SUFFICIENT

[Reveal] Spoiler:
B

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Re: Pat bought 5 pounds of apples. How many pounds of   [#permalink] 04 Jan 2015, 13:26
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