In a class, the ratio of boys to girls is 3:2. If there are 25 students in total

Practice Questions

Q1
In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many girls are there?
  1. 10
  2. 15
  3. 5
  4. 20

Questions & Step-by-Step Solutions

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many girls are there?
  • Step 1: Understand the ratio of boys to girls, which is 3:2. This means for every 3 boys, there are 2 girls.
  • Step 2: Let 'x' be a common multiplier. Then, the number of boys can be represented as 3x and the number of girls as 2x.
  • Step 3: Write an equation for the total number of students. The total is the number of boys plus the number of girls: 3x + 2x.
  • Step 4: Combine the terms in the equation: 3x + 2x = 5x.
  • Step 5: Set the equation equal to the total number of students, which is 25: 5x = 25.
  • Step 6: Solve for 'x' by dividing both sides of the equation by 5: x = 25 / 5, which gives x = 5.
  • Step 7: Now, find the number of girls by substituting 'x' back into the expression for girls: 2x = 2 * 5.
  • Step 8: Calculate 2 * 5 to find the number of girls: 2 * 5 = 10.
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