Question

There are 1125 members in a mountaineering club. The club's secretary surveys 72 randomly selected members and finds that 63 members are in favor of holding a used-gear sale. About how many of the club members would be in favor of holding a used-gear sale?

63
72
984
1053

Answer 1

984 members of club would be in favor of used-gear sale based on results of survey.

Step-by-step explanation:

Number of people surveyed = 72

People in favor of sale = 63

Percentage of people in favor = $\frac{People\ in\ favor\ of\ sale}{No.\ of\ people\ surveyed}*100$

Percentage of people in favor = $\frac{63}{72}*100 = \frac{6300}{72}$

Percentage of people in favor = 87.5%

It means that 87.5% members of club will be in favor of sale.

Total members of club = 1125

Total members in favor = 87.5% of total members

$Total\ members\ in\ favor=\frac{87.5}{100}*1125 = \frac{98437.5}{100}\\Total\ members\ in\ favor=984.3$

Rounding off to nearest whole number

Total members in favor = 984

984 members of club would be in favor of used-gear sale based on results of survey.

Keywords: percentage, division

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