In a class, the ratio of students who passed to those who failed is 5:3. If 40 s

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Question: In a class, the ratio of students who passed to those who failed is 5:3. If 40 students passed, how many failed?

Options:

Correct Answer: 24

Solution:

Let passed = 5x and failed = 3x. Given 5x = 40, x = 8. Therefore, failed = 3x = 3*8 = 24.

In a class, the ratio of students who passed to those who failed is 5:3. If 40 students passed, how many failed?

In a class, the ratio of students who passed to those who failed is 5:3. If 40 students passed, how many failed?

Step 1: Understand the ratio of students who passed to those who failed, which is 5:3.
Step 2: Let 'x' be a common multiplier. Then, the number of students who passed can be represented as 5x and those who failed as 3x.
Step 3: We know that 40 students passed, so we can set up the equation: 5x = 40.
Step 4: Solve for 'x' by dividing both sides of the equation by 5: x = 40 / 5.
Step 5: Calculate x, which gives us x = 8.
Step 6: Now, find the number of students who failed by using the formula for failed students: failed = 3x.
Step 7: Substitute x into the formula: failed = 3 * 8.
Step 8: Calculate the number of failed students: failed = 24.

Ratio and Proportion – Understanding and applying the concept of ratios to solve problems involving proportional relationships.
Algebraic Representation – Using variables to represent quantities in a problem and solving for unknowns.