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In a class, the ratio of students who prefer Math to those who prefer Science is

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Question: In a class, the ratio of students who prefer Math to those who prefer Science is 3:2. If there are 30 students who prefer Science, how many prefer Math?

Options:

  1. 45
  2. 60
  3. 30
  4. 40

Correct Answer: 45

Solution: 

Let Math = 3x and Science = 2x. Given 2x = 30, x = 15. Therefore, Math = 3x = 3*15 = 45.

In a class, the ratio of students who prefer Math to those who prefer Science is

Practice Questions

Q1
In a class, the ratio of students who prefer Math to those who prefer Science is 3:2. If there are 30 students who prefer Science, how many prefer Math?
  1. 45
  2. 60
  3. 30
  4. 40

Questions & Step-by-Step Solutions

In a class, the ratio of students who prefer Math to those who prefer Science is 3:2. If there are 30 students who prefer Science, how many prefer Math?
  • Step 1: Understand the ratio of students who prefer Math to those who prefer Science, which is 3:2.
  • Step 2: Let 'x' be a common multiplier. Then, the number of students who prefer Math can be represented as 3x and those who prefer Science as 2x.
  • Step 3: We know that the number of students who prefer Science is 30. So, we can set up the equation: 2x = 30.
  • Step 4: Solve for 'x' by dividing both sides of the equation by 2: x = 30 / 2 = 15.
  • Step 5: Now, substitute 'x' back into the equation for Math: Math = 3x = 3 * 15.
  • Step 6: Calculate the number of students who prefer Math: Math = 45.
  • Ratio and Proportion – Understanding and applying the concept of ratios to solve problems involving comparisons between two quantities.
  • Algebraic Representation – Using variables to represent quantities and setting up equations based on given relationships.
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