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:

450 people.

Step-by-step explanation:

The trick of this question is just to write the problem in math language.

Let the people that bought online be "x"

and let the people that bought at the door be "(x+100)"

Why (x+100)? because the question said: "One hundred more people bought their tickets at the door than online"

How much do "x" people pay? 15$

How much do "x+100" people pay? 25$

let's write the equation and solve it.

15(x)+25(x+100)=20500

15x+25x+2500=20500

40x+2500=20500, now -2500 both sides.

40x=18000, now divide both sides by 40.

x=450

Remember, we let the people that bought online be "x"