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16 Sep 2014, 01:10
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The table below shows the number of members for five pool clubs in 2001 and 2002, respectively:
Which of the clubs experienced the greatest percentage increase in membership from 2001 to 2002?
A. Club A
B. Club B
C. Club C
D. Club D
E. Club E
Which of the clubs experienced the greatest percentage increase in membership from 2001 to 2002?
A. Club A
B. Club B
C. Club C
D. Club D
E. Club E
16 Sep 2014, 01:10
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Official Solution:
The table below shows the number of members for five pool clubs in 2001 and 2002, respectively:
Which of the clubs experienced the greatest percentage increase in membership from 2001 to 2002?
A. Club A
B. Club B
C. Club C
D. Club D
E. Club E
Let's analyze:
• Club C decreased in size, so it can be instantly eliminated.
• Club E started with the smallest number of members (31) and increased by 3. We'll use this as a benchmark for the other clubs.
• Club B started with more members (62) and increased by fewer (2), so it won't beat E.
• Likewise, Club D started with more members (48) and increased by fewer (2), so it won't beat E either.
• Club A started with more members (54) but increased by more (4), so it's not immediately obvious.
So, we have to calculate whether \(\frac{4}{54}\) (Club A) is larger than \(\frac{3}{31}\) (Club E). To make the comparison clearer, let's scale the fractions up: \(\frac{4}{54} = \frac{8}{108}\) and \(\frac{3}{31} = \frac{9}{93}\). Given that 9 out of 93 is greater than 8 out of 108, we conclude that \(\frac{4}{54} < \frac{3}{31}\).
Answer: E
The table below shows the number of members for five pool clubs in 2001 and 2002, respectively:
Which of the clubs experienced the greatest percentage increase in membership from 2001 to 2002?
A. Club A
B. Club B
C. Club C
D. Club D
E. Club E
Let's analyze:
• Club C decreased in size, so it can be instantly eliminated.
• Club E started with the smallest number of members (31) and increased by 3. We'll use this as a benchmark for the other clubs.
• Club B started with more members (62) and increased by fewer (2), so it won't beat E.
• Likewise, Club D started with more members (48) and increased by fewer (2), so it won't beat E either.
• Club A started with more members (54) but increased by more (4), so it's not immediately obvious.
So, we have to calculate whether \(\frac{4}{54}\) (Club A) is larger than \(\frac{3}{31}\) (Club E). To make the comparison clearer, let's scale the fractions up: \(\frac{4}{54} = \frac{8}{108}\) and \(\frac{3}{31} = \frac{9}{93}\). Given that 9 out of 93 is greater than 8 out of 108, we conclude that \(\frac{4}{54} < \frac{3}{31}\).
Answer: E
21 Oct 2023, 10:45
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
