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
Hey oe1216454, good to see you again. Step 1: Define variables and set up equations based on the given information. Let V be the number of VIP tickets sold and P be the number of popular stand tickets sold. We are given: • Total number of people: 8000 • Price of VIP ticket: \50 • Price of popular stand ticket: \30 • Total revenue: \250,000 From this, we can form two equations: V + P = 8000 (Equation 1) 50V + 30P = 250000 (Equation 2) Step 2: Solve Equation 1 for P in terms of V. P = 8000 - V Step 3: Substitute the expression for P into Equation 2. 50V + 30(8000 - V) = 250000 50V + 240000 - 30V = 250000 Step 4: Simplify and solve for V. 20V + 240000 = 250000 20V = 250000 - 240000 20V = 10000 V = (10000)/(20) V = 500 Step 5: Substitute the value of V back into the expression for P$. P = 8000 - V P = 8000 - 500 P = 7500 The number of VIP tickets sold is 500 and the number of popular stand tickets sold is 7500. VIP tickets: 500, Popular stand tickets: 7500 Send me the next one 📸