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

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

Options:

Correct Answer: 12

Solution:

Let the number of boys be 3x and girls be 2x. Then, 3x + 2x = 30, which gives 5x = 30, so x = 6. Therefore, the number of girls is 2x = 12.

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

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

Correct Answer: 12

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. So, the number of boys is 3x and the number of girls is 2x.
Step 4: Add the number of boys and girls together: 3x + 2x = 30.
Step 5: Combine like terms: 5x = 30.
Step 6: Solve for x by dividing both sides by 5: x = 30 / 5 = 6.
Step 7: Now, find the number of girls by calculating 2x: 2 * 6 = 12.
Step 8: Therefore, there are 12 girls in the class.

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