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: Calculate the total number of girls and women. The number of women is 9. The number of girls is 15. Girls + Women = 15 + 9 = 24 Step 2: Use the given condition that half of the people are girls and women. This means the number of girls and women is half of the total number of people at the party. Total People = 2 × (Girls + Women) Total People = 2 × 24 = 48 Step 3: Set up an equation for the total number of people using all categories. The total number of people is the sum of men, women, boys, and girls. Let B be the number of boys. Total People = Men + Women + Boys + Girls 48 = 7 + 9 + B + 15 Step 4: Sum the known numbers on the right side of the equation. 48 = (7 + 9 + 15) + B 48 = 31 + B Step 5: Solve for B. Subtract 31 from both sides of the equation. B = 48 - 31 B = 17 The number of boys at the party is 17. The final answer is 17