If 60% of students in a school are girls and 40% of the girls play basketball, w

Practice Questions

Q1
If 60% of students in a school are girls and 40% of the girls play basketball, what percentage of the total students are girls who play basketball?
  1. 24%
  2. 30%
  3. 40%
  4. 60%

Questions & Step-by-Step Solutions

If 60% of students in a school are girls and 40% of the girls play basketball, what percentage of the total students are girls who play basketball?
  • Step 1: Understand that 60% of the students in the school are girls.
  • Step 2: Understand that 40% of the girls play basketball.
  • Step 3: To find the percentage of total students who are girls that play basketball, first convert the percentages to decimals: 60% becomes 0.6 and 40% becomes 0.4.
  • Step 4: Multiply the decimal for girls (0.6) by the decimal for girls who play basketball (0.4): 0.6 * 0.4.
  • Step 5: Calculate the result of the multiplication: 0.6 * 0.4 = 0.24.
  • Step 6: Convert the decimal back to a percentage: 0.24 becomes 24%.
  • Step 7: Conclude that 24% of the total students are girls who play basketball.
  • Percentage Calculation – Understanding how to calculate percentages of a whole and applying them to subsets.
  • Multiplication of Percentages – Using multiplication to find the percentage of a percentage, specifically in the context of groups within a total.
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