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Paul, a painter, paints only flowers or cats in his notebook. The pict

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Paul, a painter, paints only flowers or cats in his notebook. The pict  [#permalink]

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New post 19 Sep 2016, 04:42
3
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Difficulty:

  55% (hard)

Question Stats:

66% (02:37) correct 34% (02:33) wrong based on 125 sessions

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Paul, a painter, paints only flowers or cats in his notebook. The pictures are drawn in either regular pencil or in charcoal (but not in both.) The total number of pictures in Paul's notebook is 39 greater than the number of cat pictures painted in pencil. How many flower pictures drawn in charcoal are there in the notebook?

(1) There are 7 flower pictures drawn in pencil in the notebook.

(2) There are 11 cat pictures drawn in charcoal in the notebook.

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Re: Paul, a painter, paints only flowers or cats in his notebook. The pict  [#permalink]

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New post 19 Sep 2016, 05:27
1
Must be C.

No. of pictures of flowers drawn in charcoal = 32-11 = 21.
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Re: Paul, a painter, paints only flowers or cats in his notebook. The pict  [#permalink]

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New post 26 Sep 2016, 10:11
1
Let c be the number of cat pictures drawn with pencil. Thus total pictures = c+39
Let x be the number of flower pictures drawn with charcoal.

St 1: 7 flower pictures in pencil - Insufficient
St2: 11 cat pictures in Charcoal - Insuffcient

St 1 + St 2:

total pictures = FP+FC+CaP+CaC
c+39 = 7+x+c+11
x = 21

Ans c
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Re: Paul, a painter, paints only flowers or cats in his notebook. The pict  [#permalink]

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New post 26 Sep 2016, 10:45
1
There are four types of pictures CC CP FC FP

We know CC+CP+FC+FP=39+CP
CC+FC+FP=39
1. FP=7 insuff
2. CC=11 insuff
1 &2

7+11+FC=39
FC=20
C
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Re: Paul, a painter, paints only flowers or cats in his notebook. The pict  [#permalink]

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New post 26 Sep 2016, 11:21
1
Bunuel wrote:
Paul, a painter, paints only flowers or cats in his notebook. The pictures are drawn in either regular pencil or in charcoal (but not in both.) The total number of pictures in Paul's notebook is 39 greater than the number of cat pictures painted in pencil. How many flower pictures drawn in charcoal are there in the notebook?

(1) There are 7 flower pictures drawn in pencil in the notebook.

(2) There are 11 cat pictures drawn in charcoal in the notebook.



the question gives us an equation like \(a+b+c+d=39+b\)
so it becomes an equation with 3 variables =====> \(a+c+d=39\)

1) alone gives the value of 1 vaiable =====> still impossible find an unique solution (2 variables left)

2) alone gives the values of 1 other variable=====> still impossible find an unique solution (2 variables left)

the two conditions together give 2 the value of two variable, so we can find a solution to the equation

answer C
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Paul, a painter, paints only flowers or cats in his notebook. The pict  [#permalink]

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New post 28 Jan 2019, 05:24
Bunuel wrote:
Paul, a painter, paints only flowers or cats in his notebook. Each picture has flowers or cats (but not both) and is drawn in either regular pencil or in charcoal (but not in both). The total number of pictures in Paul's notebook is 39 greater than the number of cat pictures painted in pencil. How many flower pictures drawn in charcoal are there in the notebook?

1) There are 7 flower pictures drawn in pencil in the notebook.
2) There are 11 cat pictures drawn in charcoal in the notebook.

Excellent opportunity for the grid (a.k.a table, double matrix, you-name-it)!

Image

\(? = y\)

Following the diagram shown, it is evident that each statement alone has a trivial bifurcation (hence it is insufficient).

\(\left( {1 + 2} \right)\,\,\,\,\left( {7 + x} \right) + \left( {y + 11} \right) = x + 39\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,y\,\,{\text{unique}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\text{SUFF}}.\)


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Paul, a painter, paints only flowers or cats in his notebook. The pict   [#permalink] 28 Jan 2019, 05:24
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