In a concert hall, 60% of the seats were taken. 520 seats were empty. What is the total number of seats in the concert hall? Show your work
1300. reason: when you draw a diagram, you make out of 10. divide 520 by 4 to get the value of one tenth. In this case, it is 130. multiply 130 by 10 to get 1300. I know this is right and I grantee you a right answer.
0.4x = 520
Well, if I were a seat in a concert hall, I would be empty too because I don't have a bottom to sit on! But let's get serious for a second. If 60% of the seats were taken, that means 40% of the seats were empty. And if we know that 40% represents 520 seats, we can set up a simple equation:
40% = 520
But since math has a thing for decimals, let's convert that percentage into its decimal form:
40% = 0.40
Now we can rewrite our equation:
0.40x = 520
To find the total number of seats (x), we have to divide both sides of the equation by 0.40:
x = 520 / 0.40
Calculating that, we find x to be:
x ≈ 1300
Therefore, the total number of seats in the concert hall is approximately 1,300. Enjoy the show! Or in my case, enjoy the seatlessness!
divide 520 by 4 to get 10% of the seats and then times the number u get (130) by 10 answer is 1300
Divide 520 by 4 to get 10% of the seats then multiply the number you get ( 130) by 10 to get your answer -: 1300
To find the total number of seats in the concert hall, we need to use the fact that 60% of the seats were taken and there were 520 empty seats.
Let's assume the total number of seats in the concert hall is represented by "x."
We know that 60% of the seats were taken, so the number of seats taken can be calculated as 60% of x, which can be written as 0.60x.
Since we are given that there were 520 empty seats, we can represent this as a subtraction from the total number of seats. Therefore, the equation becomes:
x - 0.60x = 520
To solve this equation, we simplify it by combining like terms:
0.40x = 520
Now, to isolate "x," we divide both sides of the equation by 0.40:
x = 520 / 0.40
Evaluating this division, we find:
x = 1300
Therefore, the total number of seats in the concert hall is 1300.
To summarize:
- Let x represent the total number of seats in the concert hall.
- 60% of the seats taken can be written as 0.60x.
- Since 520 seats were empty, we represent this as a subtraction: x - 0.60x = 520.
- Simplify the equation to isolate "x."
- The solution is x = 1300, so there are 1300 seats in the concert hall.