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

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Question: 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)

Options:

Correct Answer: 75

Exam Year: 2022

Solution:

Let the number of males be 3x and females be 2x. Then, 3x + 2x = 150, 5x = 150, x = 30. Number of females = 2x = 60.

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)

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.

Ratios – Understanding and applying ratios to solve problems involving proportions.
Algebraic Equations – Setting up and solving equations based on given relationships.
Word Problems – Interpreting a real-world scenario and translating it into a mathematical model.