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Museum

by heshamelaziry » Wed Sep 16, 2009 3:36 pm
The Townville museum was open for 7 consecutive days. If the number of visitors each day was 3 greater than the previous day, how many visitors were there on the first day?

(1) There were a total of 126 visitors for the 7 days.

(2) The number of visitors on the seventh day was three times the number of visitors on the first day.

OA D
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Source: — Data Sufficiency |

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Re: Museum

by Brent@GMATPrepNow » Wed Sep 16, 2009 4:31 pm
heshamelaziry wrote:The Townville museum was open for 7 consecutive days. If the number of visitors each day was 3 greater than the previous day, how many visitors were there on the first day?

(1) There were a total of 126 visitors for the 7 days.

(2) The number of visitors on the seventh day was three times the number of visitors on the first day.

OA D
This question looks very familiar :)

Let x = # visitors on day 1
x+3 = # visitors on day 2
x+6 = # visitors on day 3
x+9 = # visitors on day 4
x+12 = # visitors on day 5
x+15 = # visitors on day 6
x+18 = # visitors on day 7

(1) sum of all 7 expressions above equals 126
i.e., (x)+(x+3)+(x+6) . . . +(x+18) = 126
We COULD solve this for x, so (1) is SUFFICIENT

(2) 3x = x+18
We COULD solve this for x, so (2) is SUFFICIENT

Answer: D
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