Respuesta :
There are 400 balcony seats.
Let b be the number of balcony seats. There are 450 lower seats; this makes the total number of seats 450+b. We know that there were 170 tickets sold, and that this is 1/5 the total number of seats; therefore our equation is
1/5(450+b)=170
Use the distributive property with the 1/5:
1/5*450 + 1/5*b = 170
90 + 1/5b = 170
Subtract 90 from both sides:
90 + 1/5b - 90 = 170 - 90
1/5b = 80
We can also write 1/5b as b/5:
b/5 = 80
Multiply both sides by 5:
(b/5) * 5 = 80 * 5
b = 400
Let b be the number of balcony seats. There are 450 lower seats; this makes the total number of seats 450+b. We know that there were 170 tickets sold, and that this is 1/5 the total number of seats; therefore our equation is
1/5(450+b)=170
Use the distributive property with the 1/5:
1/5*450 + 1/5*b = 170
90 + 1/5b = 170
Subtract 90 from both sides:
90 + 1/5b - 90 = 170 - 90
1/5b = 80
We can also write 1/5b as b/5:
b/5 = 80
Multiply both sides by 5:
(b/5) * 5 = 80 * 5
b = 400
You can add the number of seats and can take its one fifth and equate it to 170 to get the number of total seats.
There are total 400 tickets sold for balcony seats.
How to calculate the number of seats from tickets' data?
Since the number of seats will be equal to that of tickets sold (assuming all seats will be covered), thus we can relate both the data.
How to find the total number of tickets sold for balcony seats?
It is givn that 170 is 1/5th of the total seats.
Since total seats = 450 seats of the lower level + b seats of the balcony
Thus, we have:
[tex]170 = \dfrac{450 + b}{5}\\\\450 + b = 170 \times 5\\\\b = 850 - 450 = 400[/tex]
Thus, there are total 400 balcony seats and thus same number of tickets will be sold for balcony seats.
Thus, There are total 400 tickets sold for balcony seats.
Learn more about linear equation with one variable here:
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