There are 450 seats in the lower level of a concert hall with b balcony seats in the upper level. So far, 170 tickets have been sold, which is 1/5 if the total number of seats in the concert hall. How many balcony seats are in the concert hall?
1 answer:
There are 400 balcony seats in the concert hall.
<u>Step-by-step explanation </u>:
Step 1 :
The number of lower seats = 450 seats Total seats = Lower seats + balcony seats
Step 2 :
Tickets sold = 170 tickets Total tickets = x Tickets sold = 1/5 of total tickets .
⇒ 170 = (1/5)x
⇒ x = 5
⇒ x = 850 tickets
∴ Total seats in the concert hall is 850 .
Step 3 :
Total seats = 450 + balcony seats
850 - 450 = balcony seats
∴ balcony seats = 400
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