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# A museum has 259 paintings and 11 sculptures. How many

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Re: A museum has 259 paintings and 11 sculptures. How many [#permalink]
OFFICIAL EXPLANATION

Hi All,

We're told that a museum has 259 paintings and 11 sculptures. We're asked for the number of PHOTOGRAPHS that the museum has. This question is based around standard Arithmetic - although if you recognize the information that you are given, then you don't actually have to do that much math to get the correct answer.

To start, we know that there is a TOTAL of 259+11 = 270 paintings and sculptures; that information will come in handy in each of the two Facts....

1) If the museum acquires 6 more paintings, then the number of paintings and sculptures combined will be 6 times the number of photographs.

Fact 1 gives us a 'hypothetical': by adding 6 more paintings to the current total, then we would have 270+6 = 276... and THAT total would be 6 TIMES the number of photographs. At this point, you might recognize that you're dealing with a 1V1E (1 variable and 1 equation), so you KNOW that you can solve for the variable. Whatever that number would ultimately be, there would be just ONE solution, so you CAN answer the question that is asked.

If you wanted to do the extra math, then you would have 276/6 = 46 photographs.
Fact 1 is SUFFICIENT

2) If the museum acquires 4 more paintings and 2 more sculptures, then the number of photographs will be 1/6 the number of paintings and sculptures combined.

Fact 2 also gives us a 'hypothetical': by adding 4 more paintings and 2 more sculptures to the current total, then we would have 270+4+2 = 276... and the number of photographs would be 1/6 of THAT total. At this point, you might also recognize that you're dealing with a 1V1E (1 variable and 1 equation), so you KNOW that you can solve for the variable. Whatever that number would ultimately be, there would be just ONE solution, so you CAN answer the question that is asked.

If you wanted to do the extra math, then you would have (276)(1/6) = 46 photographs.
Fact 2 is SUFFICIENT

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Re: A museum has 259 paintings and 11 sculptures. How many [#permalink]
A museum has 259 paintings and 11 sculptures. How many photographs does the museum have?

1) If the museum acquires 6 more paintings, then the number of paintings and sculptures combined will be 6 times the number of photographs.
2) If the museum acquires 4 more paintings and 2 more sculptures, then the number of photographs will be 1/6 the number of paintings and sculptures combined.

Paintings -259
Sculptures -11

1) Paintings after aquiring six more = 259+6 = 265
Paintings + Sculptures = 265+11=6 times Photographs
6x => 276 => x= 46. SUFFICIENT

2) Paintings after aquiring four more 259+4 = 263
Sculptures after aquiring ftwo more (11+2) = 13
ONE SIXTH OF Paintings + Sculptures = 1/6(263+13) PHOTOGRAPHS
x = 276/6 > x=46. SUFFICIENT

Hence answer should be D. Each one suffices
Re: A museum has 259 paintings and 11 sculptures. How many [#permalink]
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