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
Alright oe1216454 — let's do this. Step 1: Define variables and set up equations. Let V be the number of VIP tickets sold and P be the number of popular stand tickets sold. Given: • Total number of people: 8000 • Price of VIP ticket: \50 • Price of popular stand ticket: \30 • Total revenue: \250,000 From this, we form two equations: V + P = 8000 (1) 50V + 30P = 250000 (2) Step 2: Solve the first equation for P in terms of V. Subtract V from both sides of equation (1): P = 8000 - V Step 3: Substitute the expression for P into the second equation. Substitute P = 8000 - V into equation (2): 50V + 30(8000 - V) = 250000 Distribute the 30: 50V + 240000 - 30V = 250000 Step 4: Simplify and solve for V. Combine like terms (50V - 30V): 20V + 240000 = 250000 Subtract 240000 from both sides: 20V = 250000 - 240000 20V = 10000 Divide by 20: V = (10000)/(20) V = 500 Step 5: Substitute the value of V back into the expression for P. Using 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$. V = 500, P = 7500 What's next? 📸