An auditorium contains 315 occupied seats and was 7/9 filled. How many empty seats were there?

5 answers

you need to set up a proportion

you say 7 = x
. == ===
9 315

and solve by cross multiplying
(7)x(315)=(9)x(x)

solve for x

by dividing both sides by 9

so

x= (7/9)x 315

use calcualtor
(7/9) total = 315
so total = 315 (9/5) = 63*9 = 567
so
empty = 567 - 315 = 252
The ratio of occupied seats to. vacants seats in auditorium is 5 to 2 . If there are 120 vacant seats, What is the seating capacity of the auditorium.
An auditorium containing 646 seats was filled 17/19. How many occupied seats were there?
An auditorium containing 646 seats was 17/19 filled. How many occupied seats were there?