In a national event, if the ratio of male to female participants is 3:2 and ther

Practice Questions

Q1
In a national event, if the ratio of male to female participants is 3:2 and there are 150 participants, how many are female? (2022)
  1. 60
  2. 90
  3. 75
  4. 45

Questions & Step-by-Step Solutions

In a national event, if the ratio of male to female participants is 3:2 and there are 150 participants, how many are female? (2022)
  • Step 1: Understand the ratio of male to female participants, which is 3:2.
  • Step 2: Let 'x' be a common multiplier. Then, the number of males can be represented as 3x and the number of females as 2x.
  • Step 3: Write an equation to represent the total number of participants: 3x + 2x = 150.
  • Step 4: Combine the terms on the left side of the equation: 5x = 150.
  • Step 5: Solve for 'x' by dividing both sides of the equation by 5: x = 150 / 5, which gives x = 30.
  • Step 6: Now, find the number of females by substituting 'x' back into the female equation: Number of females = 2x = 2 * 30.
  • Step 7: Calculate 2 * 30 to find the number of females: 2 * 30 = 60.
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