Question

tickets to a concert cost $15 online and $25 at the door. one hundred more people bought their tickets at the door than online. if ticket sales totaled $20,500, how many people bought their concert tickets online?

Answer 1

Answer: The number of people bought their tickets online = 450 and the number of people bought their tickets offline = 550 .

Step-by-step explanation:

Let x = Number of tickets sold online.

y= Number of tickets sold at the door.

As per given , we have the following linear equation:

$y=x+100-----------(1)\\\\15x+25y=20500------------------(2)$

Put value of y from (1) in (2) , we get

$15x+25(x+100)=20500\\\\\Rightarrow\ 15x+25x+2500=20500\\\\\Rightarrow\ 40x=18000\\\\\Rightarrow\ x=\dfrac{18000}{40}=450$

Put value of x in (1), we get

$y=450+100=550$

Hence, the number of people bought their tickets online = 450 and the number of people bought their tickets offline = 550 .

Answer 2

25X100= 2,500 at the door
2,500-20,500 = 18,000 lift
18,000/15 =1,200 people on line