A bag contains red and blue balls in the ratio of 2:3. If there are 30 blue ball

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Question: A bag contains red and blue balls in the ratio of 2:3. If there are 30 blue balls, how many red balls are there?

Options:

Correct Answer: 20

Solution:

Let red balls be 2x and blue balls be 3x. Given 3x = 30, x = 10. Therefore, red balls = 2x = 2*10 = 20.

A bag contains red and blue balls in the ratio of 2:3. If there are 30 blue balls, how many red balls are there?

A bag contains red and blue balls in the ratio of 2:3. If there are 30 blue balls, how many red balls are there?

Step 1: Understand the ratio of red balls to blue balls, which is 2:3.
Step 2: Let the number of red balls be represented as 2x and the number of blue balls as 3x.
Step 3: We know there are 30 blue balls, so we can set up the equation 3x = 30.
Step 4: Solve for x by dividing both sides of the equation by 3. This gives us x = 10.
Step 5: Now, find the number of red balls by substituting x back into the equation for red balls: 2x = 2 * 10.
Step 6: Calculate 2 * 10, which equals 20. So, there are 20 red balls.

Ratios – Understanding and applying the concept of ratios to solve problems involving proportional relationships.
Algebraic Representation – Using variables to represent quantities and setting up equations based on given information.