If the ratio of boys to girls in a class is 3:2 and there are 30 students in tot

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Question: If the ratio of boys to girls in a class is 3:2 and there are 30 students in total, how many girls are there? (2019)

Options:

Correct Answer: 12

Exam Year: 2019

Solution:

Let boys = 3x and girls = 2x. Then, 3x + 2x = 30 => 5x = 30 => x = 6. Girls = 2x = 12.

If the ratio of boys to girls in a class is 3:2 and there are 30 students in total, how many girls are there? (2019)

If the ratio of boys to girls in a class is 3:2 and there are 30 students in total, how many girls are there? (2019)

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. So, we can say the number of boys is 3x and the number of girls is 2x.
Step 3: Add the number of boys and girls together: 3x + 2x = 30.
Step 4: Combine like terms: 5x = 30.
Step 5: Solve for x by dividing both sides by 5: x = 30 / 5 = 6.
Step 6: Now, find the number of girls by substituting x back into the equation for girls: Girls = 2x = 2 * 6 = 12.

Ratios – Understanding and applying ratios to solve problems involving proportions.
Algebraic Expressions – Using variables to represent quantities and solving equations to find unknown values.
Word Problems – Interpreting a real-world scenario and translating it into a mathematical equation.