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# M21-04

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Math Expert
Joined: 02 Sep 2009
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16 Sep 2014, 00:10
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Difficulty:

5% (low)

Question Stats:

82% (00:50) correct 18% (00:44) wrong based on 147 sessions

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The table below shows the number of members of 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

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Joined: 02 Sep 2009
Posts: 52230

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16 Sep 2014, 00:10
Official Solution:

The table below shows the number of members of 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

The absolute increase in membership was 4 for club A, 2 for club B, -5 for club C, 2 for club D, and 3 for club E. To compare the percentage increases we have to compare fractions $$\frac{4}{54}$$, $$\frac{2}{62}$$, $$-\frac{5}{60}$$, $$\frac{2}{48}$$, and $$\frac{3}{31}$$. $$\frac{3}{31}$$ is the largest ($$\frac{3}{31}$$ is approximately $$\frac{1}{10} = \frac{4}{40} \gt \frac{4}{54} \gt \frac{2}{48} = \frac{1}{24}$$).

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08 Nov 2017, 02:01
Take the ratio and compare. E wins.
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Joined: 06 Jan 2018
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02 Feb 2018, 20:09
Instead of calculating all the ratios, you can eliminate some quickly.

Club C decreased in size so can be instantly eliminated.

Club E started with the smallest number (31) and increased by 3. Use that as a comparison for 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.

You then just have to calculate whether 4/54 is larger than 3/31. You will probably have time to do this long-hand, or you can estimate if you're confident.
Re: M21-04 &nbs [#permalink] 02 Feb 2018, 20:09
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# M21-04

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