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

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

Options:

Correct Answer: 18

Solution:

Let red balls be 3x and blue balls be 2x. Then, 3x + 2x = 30, 5x = 30, x = 6. Therefore, red balls = 3x = 3*6 = 18.

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

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

Step 1: Understand the ratio of red to blue balls, which is 3:2.
Step 2: Let the number of red balls be represented as 3x and the number of blue balls as 2x.
Step 3: Add the expressions for red and blue balls: 3x + 2x.
Step 4: Set up the equation: 3x + 2x = 30.
Step 5: Combine like terms: 5x = 30.
Step 6: Solve for x by dividing both sides by 5: x = 30 / 5.
Step 7: Calculate x: x = 6.
Step 8: Find the number of red balls by substituting x back into 3x: red balls = 3 * 6.
Step 9: Calculate the number of red balls: red balls = 18.

Ratios – Understanding and applying the concept of ratios to determine quantities based on given relationships.
Algebraic Equations – Setting up and solving simple algebraic equations to find unknown values.
Total Quantity – Using the total number of items to establish relationships between different groups.