Math Challenge: How many people attended Amusement Park in 2005 ?
The Number of Customers Visiting Amusement Park A in Selected Years and Seasons
How many people attended Amusement Park A in 2005 if the average (arithmetic mean) number of people attending Amusement Park A per year for the 6 years 2000 through 2005 inclusive was 21,700?
A) 19,282
B) 21,920
C) 22,520
D) 23,319
E) 24,118
Explanation:
Correct Choice: (E)
The average formula is [ Avg = Sum of terms / No.of Terms ] .
We can rewrite this formula in the form Sum of the terms = Average × Number of terms.
The total number of people attending Amusement Park A in the 6 years 2000 through 2005 inclusive is 21,700 × 6 = 130,200.
Looking at lowest horizontal row of the table, the entry furthest to the right in this row, 106,082, is the total number of people who attended Amusement Park A in the 5 years 2000 through 2004.
If we subtract the total number of people who attended Amusement Park A in the 5 years 2000 through 2004, from total number of people who attended Amusement Park A in the 6 years 2000 through 2005, we will have the number of people who attended Amusement Park A in 2005. So the number of people who attended Amusement Park A in 2005 is 130,200 – 106,082 = 24,118
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