Please Solve.?
2017-05-04 4:17 am
In a movie theatre, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie theatre, if the total number of seats in the theatre is 884?
回答 (4)
2017-05-04 5:04 am
If number of rows + R, then seats per row = (R + 8)
Total seats = R (R + 8)
So R(R + 8) = 884
R² + 8R - 884 = 0
(R - 26) (R + 34) = 0
R = 26
Total seats = R (R + 8)
So R(R + 8) = 884
R² + 8R - 884 = 0
(R - 26) (R + 34) = 0
R = 26
2017-05-04 5:51 am
It can be convenient to solve these by considering the average of the number of seats per row and the number of rows. Let "a" represent that average. Then you have
.. (a -4)(a +4) = 884 . . . . rows*(seats/row) = 884
.. a^2 -16 = 884
.. a^2 = 900
.. a = √900 = 30
The number of rows is 30 -4 = 26.
.. (a -4)(a +4) = 884 . . . . rows*(seats/row) = 884
.. a^2 -16 = 884
.. a^2 = 900
.. a = √900 = 30
The number of rows is 30 -4 = 26.
2017-05-04 4:23 am
ok
2017-05-04 5:46 am
x [ x + 8 ] = 884
x² + 8x - 884 = 0
[ x - 26 ] [ x + 34 ] = 0
x = 26 seats per row
x² + 8x - 884 = 0
[ x - 26 ] [ x + 34 ] = 0
x = 26 seats per row
收錄日期: 2021-04-24 00:36:39
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https://hk.answers.yahoo.com/question/index?qid=20170503201730AArYNcC