In a class of students, the ratio of boys to girls is 3:2. If the total number o

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Question: In a class of students, the ratio of boys to girls is 3:2. If the total number of students is 50, how many boys are there? (2023)

Options:

Correct Answer: 30

Exam Year: 2023

Solution:

Let the number of boys be 3x and girls be 2x. Then, 3x + 2x = 50, which gives x = 10. Therefore, boys = 3x = 30.

In a class of students, the ratio of boys to girls is 3:2. If the total number of students is 50, how many boys are there? (2023)

In a class of students, the ratio of boys to girls is 3:2. If the total number of students is 50, how many boys are there? (2023)

Step 1: Understand the ratio of boys to girls, which is 3:2.
Step 2: This means for every 3 boys, there are 2 girls.
Step 3: Let 'x' be a common multiplier. Then, the number of boys can be represented as 3x and the number of girls as 2x.
Step 4: Add the number of boys and girls together: 3x + 2x.
Step 5: This simplifies to 5x (since 3x + 2x = 5x).
Step 6: We know the total number of students is 50, so we set up the equation: 5x = 50.
Step 7: Solve for x by dividing both sides of the equation by 5: x = 50 / 5.
Step 8: Calculate x, which gives us x = 10.
Step 9: Now, find the number of boys by substituting x back into the equation for boys: 3x = 3 * 10.
Step 10: Calculate the number of boys, which is 30.

Ratios – Understanding and applying ratios to determine quantities based on given relationships.
Algebraic Expressions – Using algebra to represent relationships and solve for unknowns.
Word Problems – Interpreting a real-world scenario and translating it into a mathematical equation.