If the ratio of boys to girls in a class is 3:4 and there are 28 girls, how many

₹0.0

Question: If the ratio of boys to girls in a class is 3:4 and there are 28 girls, how many boys are there?

Options:

Correct Answer: 21

Solution:

Let the number of boys be 3x and girls be 4x. Given 4x = 28, we find x = 7. Thus, boys = 3x = 3*7 = 21.

If the ratio of boys to girls in a class is 3:4 and there are 28 girls, how many boys are there?

If the ratio of boys to girls in a class is 3:4 and there are 28 girls, how many boys are there?

Correct Answer: 21

Step 1: Understand the ratio of boys to girls, which is 3:4. This means for every 3 boys, there are 4 girls.
Step 2: Let 'x' be a common multiplier. Then, the number of boys can be represented as 3x and the number of girls as 4x.
Step 3: We know there are 28 girls. So, we can set up the equation: 4x = 28.
Step 4: To find 'x', divide both sides of the equation by 4: x = 28 / 4.
Step 5: Calculate x: x = 7.
Step 6: Now, find the number of boys using the value of x: boys = 3x = 3 * 7.
Step 7: Calculate the number of boys: boys = 21.

Ratios – Understanding and applying the concept of ratios to find unknown quantities.
Proportions – Using proportions to relate the number of boys and girls based on the given ratio.
Algebraic Representation – Setting up equations based on the ratio to solve for unknown variables.