answer sheet
Do not forget your unit of measurements.
ticket is P500, how much will be the total sales for a night if all seats are
taken?
1. The seats at Cabatuan auditorium were arranged for a one-night concert-for
a-cause. There are 20 seats at first row, 25 seats at second row, 30 seats at
third row, and so on for ten rows. How many seats are there in the last row
What is the total number of seats are there in the auditorium? If the price per ticket is 500,how much will be the total sales for a nighr if all seats are taken?
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Answer:
(a) 900
(b)1200
let no. of row =x
no. of seats in one row=y
total seats hence =xy
A.T.Q
x=y
also 2x .(y-10) =xy+300 •••••••1
put x=y in eq 1
substitution method
2x.(x-10)=x.x+300
2x^-20x=x^+300
x^-20x-300=0
(x-30)(x+10)=0
x=30. (10 is neglected as no. of rows cant be negative)
hence initial seats =xy
=x^
=30.30
=900
seats after new arrangement = xy+300
=900+300
=1200
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