Question

Tickets to a concert cost $15 online and $25 at the door. One hundred more people bought their tickets at the door then online. If ticket sales totaled $20,500, how many people bought there concert tickets online?

Answer 1

Answer:

450 online, 550 door

Step-by-step explanation:

1. Write an equation. Let o be the amount of online tickets, d be the amount of tickets bought at the door, m be the amount of money. 15o+25d=m
2. Subtitute values. We know that 100 more tickets were bought at the door than online, so we can say that the door tickets are the same as the online tickets plus 100. We also know that the profit was $20,500. 15o+25(o+100)=20,500
3. Simplify. Use the distrubutive property on the 25(o+100). Then add like terms. 40o+2,500=20,500
4. Isolate the variable. First, subtract 2,500 from both sides. Then divide both sides by 40. o=450 This means that it would be 450 online tickets and 550 door tickets.
5. Check your answer. Replace all o’s in the second step with 450. Simplify the fraction. If you get a certain number equals the same number, it’s correct. 15(450)+25(450+100)=20,500 becomes 6,750+13,750=20,500, which is further simplified into 20,500=20,500.

The answer is correct!