Show Answer - Magoosh GMAT

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Choose the correct statement.

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.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Title

Museum visitors

Your Result

Correct

Difficulty

Medium

Your Pace

0:10

Others' Pace

1:39

Video Explanation

Text Explanation

If x is the number of visitors on the first day, then:

x = # of visitors on the 1st day

x + 3 = # of visitors on the 2nd day

x + 6 = # of visitors on the 3rd day

x + 9 = # of visitors on the 4th day

x + 12 = # of visitors on the 5th day

x + 15 = # of visitors on the 6th day

x + 18 = # of visitors on the 7th day

1) Adding up the number of visitors gives us:

x + (x + 3) + (x + 9) + (x + 12) + (x + 15) + (x + 18) = 126

We could simplify and solve this for x. So Statement 1 is sufficient.

2) x + 18 = 3x

Again, we can simplify this and solve for x. So Statement 2 is sufficient.

Answer: (D)

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