In a class, the ratio of boys to girls is 2:3. If there are 15 girls, how many b

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Question: In a class, the ratio of boys to girls is 2:3. If there are 15 girls, how many boys are there?

Options:

Correct Answer: 10

Solution:

Let boys be 2x and girls be 3x. Given 3x = 15, x = 5. Therefore, boys = 2x = 2*5 = 10.

In a class, the ratio of boys to girls is 2:3. If there are 15 girls, how many boys are there?

In a class, the ratio of boys to girls is 2:3. If there are 15 girls, how many boys are there?

Step 1: Understand the ratio of boys to girls, which is 2:3.
Step 2: Let 'x' be a common multiplier. This means boys can be represented as 2x and girls as 3x.
Step 3: We know there are 15 girls, so we set up the equation 3x = 15.
Step 4: Solve for x by dividing both sides of the equation by 3. This gives us x = 5.
Step 5: Now, calculate the number of boys using the formula for boys, which is 2x. Substitute x with 5: 2 * 5 = 10.
Step 6: Therefore, there are 10 boys in the class.

Ratio and Proportion – Understanding and applying the concept of ratios to find unknown quantities based on given relationships.
Algebraic Representation – Using variables to represent quantities and solving equations to find unknown values.