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A stationery store sells pens and pencils. If the price of [#permalink]
02 Aug 2010, 20:37
This post was BOOKMARKED
57% (01:58) correct
43% (01:05) wrong based on 67 sessions
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A stationery store sells pens and pencils. If the price of each item is expressed as a non-zero whole number of cents, how much do 5 pencils cost? 1. 5 pencils and 3 pens cost 30 cents. 2. 4 pencils and 4 pens cost 32 cents.
Let p be the price of pen and c price of pencils Statement 1 Consider the below scenarios: p=1, then c=(30-5)/3, which is not possible p=2, then c=(30-10)/3, which is not possible p=3, then c=(30-15)/3, which is possible p=4, then c=(30-20)/3, which is not possible p=5, then c=(30-25)/3, which is not possible
So the only solution is p=3 and c=5.
Statement 2 4p+4c=32, thus p+c=8 has several solutions. p=1, c=7 p=2, c=6.... etc
Re: A stationery store sells pens and pencils. If the price of [#permalink]
26 Mar 2016, 21:26
Hi, in the question they are giving the number of pencils as 5 so theres no debate about pencils being 1.5 I think its A because the question stem mentions that the price has to be expressed in a non-zero whole number of cents therefore the price has to be a whole number and not a fraction (which is usually the case in prices). Usually a question which involves the reasoning that pencils cannot be fractions has prices given and not the number of pencils
Re: A stationery store sells pens and pencils. If the price of
26 Mar 2016, 21:26
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