In a class, the ratio of boys to girls is 2:3. If there are 30 students in total

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

Options:

Correct Answer: 12

Solution:

Let boys = 2x and girls = 3x. Then, 2x + 3x = 30, 5x = 30, x = 6. Girls = 3x = 3*6 = 18.

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

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

Step 1: Understand the ratio of boys to girls, which is 2:3.
Step 2: This means for every 2 boys, there are 3 girls.
Step 3: Let 'x' be a common multiplier. So, boys can be represented as 2x and girls as 3x.
Step 4: Add the expressions for boys and girls: 2x + 3x.
Step 5: This simplifies to 5x.
Step 6: We know the total number of students is 30, so set up the equation: 5x = 30.
Step 7: Solve for x by dividing both sides of the equation by 5: x = 30 / 5.
Step 8: Calculate x, which equals 6.
Step 9: Now, find the number of girls by substituting x back into the expression for girls: 3x = 3 * 6.
Step 10: Calculate 3 * 6, which equals 18. Therefore, there are 18 girls.

Ratios – Understanding and applying ratios to determine quantities based on given relationships.
Algebraic Expressions – Using variables to represent unknown quantities and solving equations.
Total Count – Applying the concept of total counts in a group to find individual quantities.