This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the total number of balls and the probability of selecting a blue ball. Total number of balls = 30 Probability of selecting a blue ball, P(blue) = (3)/(5) Step 2: Use the probability formula to find the number of blue balls. The probability of an event is given by: P(event) = Number of favorable outcomesTotal number of outcomes For selecting a blue ball: P(blue) = Number of blue ballsTotal number of balls Substitute the given values: (3)/(5) = Number of blue balls30 Step 3: Solve for the number of blue balls. Multiply both sides by 30: Number of blue balls = (3)/(5) × 30 Number of blue balls = 3 × 6 Number of blue balls = 18 Step 4: Calculate the number of red balls. The bag contains only red and blue balls. Total number of balls = Number of red balls + Number of blue balls 30 = Number of red balls + 18 Subtract 18 from both sides: Number of red balls = 30 - 18 Number of red balls = 12 The number of red balls in the bag is 12. Send me the next one 📸