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The total percentage of members in the club is 100%. Given that 60% are males, the rest are females.

Mathematics

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Answers

3 parts
a

40%40\%

b
120
c
20

Step-by-step solution

6 steps

Here's the solution to the problem:

Part a· 1 step

  1. The total percentage of members in the club is 100%.

    Given that 60% are males, the rest are females.

    Percentage of females=100%−Percentage of males\text{Percentage of females} = 100\% - \text{Percentage of males} Percentage of females=100%−60%\text{Percentage of females} = 100\% - 60\% Percentage of females=40%\text{Percentage of females} = \boxed{40\%}

Part b120

  1. The total number of members in the club is 200.

    The percentage of males is 60%.

    Number of males=Percentage of males100×Total members\text{Number of males} = \frac{\text{Percentage of males}}{100} \times \text{Total members} Number of males=60100×200\text{Number of males} = \frac{60}{100} \times 200
  2. Calculate the number of males.

    Number of males=0.60×200\text{Number of males} = 0.60 \times 200 Number of males=120\text{Number of males} = \boxed{120}

Part c20

  1. First, find the number of females in the club.

    From part (a), the percentage of females is 40%.

    Number of females=Percentage of females100×Total members\text{Number of females} = \frac{\text{Percentage of females}}{100} \times \text{Total members} Number of females=40100×200\text{Number of females} = \frac{40}{100} \times 200 Number of females=0.40×200\text{Number of females} = 0.40 \times 200 Number of females=80\text{Number of females} = 80
  2. 25% of the females are students.

    Calculate the number of students.

    Number of students=Percentage of females who are students100×Number of females\text{Number of students} = \frac{\text{Percentage of females who are students}}{100} \times \text{Number of females} Number of students=25100×80\text{Number of students} = \frac{25}{100} \times 80
  3. Calculate the final number of students.

    Number of students=0.25×80\text{Number of students} = 0.25 \times 80 Number of students=20\text{Number of students} = \boxed{20}
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