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A middle school took all 6th grade students on a field trip to see a ballet. The students filled 702 seats leaving 35% vacant how manny seats were in the theater

User Michael Benford
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1 Answer

10 votes
10 votes

There are 1080 seats in the theater.

We know that the students filled 702 seats, leaving 35% vacant.

Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.

So, if the total number of seats is S, we can write:

(65%/100%)*S as the 65% of S.

Then we solve:

(65%/100%)*S = 702

0.65*S = 702

S = 702/0.65 = 1,080

There are 1,080 seats in the theater.

User Lrathod
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