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hkhanexam
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Dan bought x pencils, some at 10 cents each and the rest at 6 cents ea 07 Oct 2020, 03:57
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C
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Difficulty:

15% (low)

Question Stats:

82% (02:04) correct 18% (02:31) wrong based on 379 sessions

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Dan bought x pencils, some at 10 cents each and the rest at 6 cents each. For the same
amount of money that he spent on these pencils, he could have bought x pencils at 9 cents
each. What is the ratio of the number of 10-cent pencils purchased to the number of 6-cent
pencils purchased?

(A) 1 : 1
(B) 2 : 1
(C) 3 : 1
(D) 4 : 1
(E) 5 : 1
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C
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Sabby
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Dan bought x pencils, some at 10 cents each and the rest at 6 cents ea 10 Jan 2021, 03:56
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rajatchopra1994
CrackVerbalGMAT Arun Sir,

Is my approach correct ? Finds your a bit lengthy.

Regards,
Rajat Chopra
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Hi,

you could do it just as following, it takes a few seconds :

Set y= pencils at 10 cts and x= pencils at 6 cts

9(x+y)=10y+6x
9x+9y=10y+6x
3x=y
y/x=3/1

Answer C)
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Dan bought x pencils, some at 10 cents each and the rest at 6 cents ea 07 Oct 2020, 04:32
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hkhanexam
Dan bought x pencils, some at 10 cents each and the rest at 6 cents each. For the same
amount of money that he spent on these pencils, he could have bought x pencils at 9 cents
each. What is the ratio of the number of 10-cent pencils purchased to the number of 6-cent
pencils purchased?

(A) 1 : 1
(B) 2 : 1
(C) 3 : 1
(D) 4 : 1
(E) 5 : 1
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Let the number of pencils bought at 10 cents = y. The cost = 10y

The number of pencils bought at 6 cents = x - y. The cost = 6(x - y)

The number of pencils bought at 9 cents = x. Therefore the total cost = 9x


Given that the total cost for pencils bought at 10 and 6 cents = Total cost of pencils bought at 9 cents

10y + 6(x - y) = 9x

10y + 6x - 6y = 9x

4y = 3x

x = 4y/3

Price of 10 cent pencils = y and cost of 6 cent pencils = x - y = 4y/3 - y = y/3

Ratio of 10 cent pencils to 6 cent pencils = y : (x - y) = y : y/3 = 3 : 1


Option C

Arun Kumar
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rajatchopra1994
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Dan bought x pencils, some at 10 cents each and the rest at 6 cents ea 07 Oct 2020, 04:33
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Explanation:

Bought x pencils at 9 cents means average price per pencil purchased is 9cent.
let x = 4
In order for the average amount to be 9cent i.e. 36 cents total,
Need to have 3 -10 cent pencils per 6cent pencil.
So the ratio will be 3:1

IMO-C
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Dan bought x pencils, some at 10 cents each and the rest at 6 cents ea 07 Oct 2020, 04:35
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CrackVerbalGMAT Arun Sir,

Is my approach correct ? Finds your a bit lengthy.

Regards,
Rajat Chopra
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Dan bought x pencils, some at 10 cents each and the rest at 6 cents ea 07 Oct 2020, 04:48
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rajatchopra1994
CrackVerbalGMAT Arun Sir,

Is my approach correct ? Finds your a bit lengthy.

Regards,
Rajat Chopra
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Hello Rajatchopra1994 rajatji. Nothing wrong in the approach you have used. I just go by what comes to my mind first. It could be conceptual, plugging in values or eliminating options.

Its good to have different approaches to the same question, lengthy or otherwise. It will help the test takers.



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Dan bought x pencils, some at 10 cents each and the rest at 6 cents ea 21 Aug 2025, 06:13
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