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A museum has 259 paintings and 11 sculptures. How many photographs does the museum have?

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A museum has 259 paintings and 11 sculptures. How many photographs does the museum have?

by BTGmoderatorDC » Mon Mar 16, 2020 5:22 pm

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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.



OA D

Source: EMPOWERgmat
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Source: — Data Sufficiency |

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

by Jay@ManhattanReview » Mon Mar 16, 2020 10:20 pm

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BTGmoderatorDC wrote: ↑
Mon Mar 16, 2020 5:22 pm
 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.

OA D

Source: EMPOWERgmat
Say the museum has x no. of photographs.

Let's take each statement one by one.

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

=> (259 + 6) + 11 = 6x. We can bet the unique value of x. 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.

=> x = 1/6 of [(259 + 4) + (11 + 2)]

We can bet the unique value of x. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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