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# Mary bought a number of pencils. If each pencil was either a 24-cent p

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Joined: 14 Nov 2016
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Mary bought a number of pencils. If each pencil was either a 24-cent p  [#permalink]

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01 Apr 2017, 19:08
00:00

Difficulty:

45% (medium)

Question Stats:

64% (00:49) correct 36% (00:39) wrong based on 22 sessions

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Mary bought a number of pencils. If each pencil was either a 24-cent pencil or a 30-cent pencil, how many 24-cent pencils did Mary buy?

1) The total price of the pencils Mary bought was 102 cents
2) Mary bought a total of 4 pencils

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Mary bought a number of pencils. If each pencil was either a 24-cent p  [#permalink]

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01 Apr 2017, 20:15
1
Excellent Question.
This is a classic GMAT-trap.
Topic under disguise => INTEGER CONSTRAINT.

Here is what i did for this one==>

Let the number of 24 cent pencils be x and 30 cent pencils be y
Firstly,x,y must be both integers.

Total expense => 24x+30y

We need the value of x

Statement 1=>
24x+30y=102

Hmm.

x=$$\frac{(102-30y)}{24}$$

Its time to do the drill.
PLUG IN.
Only one value satisfies => at y=1 and x=3
Hence sufficient.

Statement 2=>
x+y=4
We cannot get x
x can be 1,2,3,4

Hence not sufficient.

Smash that A.

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Mary bought a number of pencils. If each pencil was either a 24-cent p &nbs [#permalink] 01 Apr 2017, 20:15
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