BOX-OFFICE RECEIPTS For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats cost $ 80 apiece, rear orchestra seats cost $ 60 apiece, and front balcony seats cost $ 50 apiece. The combined number of tickets sold for the front orchestra and rear orchestra exceeded twice the number of front balcony tickets sold by 400 . The total receipts for the performance were $ 62 , 800 . Determine how many tickets of each type were sold.
BOX-OFFICE RECEIPTS For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats cost $ 80 apiece, rear orchestra seats cost $ 60 apiece, and front balcony seats cost $ 50 apiece. The combined number of tickets sold for the front orchestra and rear orchestra exceeded twice the number of front balcony tickets sold by 400 . The total receipts for the performance were $ 62 , 800 . Determine how many tickets of each type were sold.
Solution Summary: The author calculates the number of tickets sold for front, rear, and balcony seats, using the Gauss-Jordan elimination method.
BOX-OFFICE RECEIPTS For the opening night at the Opera House, a total of
1000
tickets were sold. Front orchestra seats cost
$
80
apiece, rear orchestra seats cost
$
60
apiece, and front balcony seats cost
$
50
apiece. The combined number of tickets sold for the front orchestra and rear orchestra exceeded twice the number of front balcony tickets sold by
400
. The total receipts for the performance were
$
62
,
800
. Determine how many tickets of each type were sold.
Robbie
Bearing Word Problems
Angles
name:
Jocelyn
date: 1/18
8K
2. A Delta airplane and an SouthWest airplane take off from an airport
at the same time. The bearing from the airport to the Delta plane is
23° and the bearing to the SouthWest plane is 152°. Two hours later
the Delta plane is 1,103 miles from the airport and the SouthWest
plane is 1,156 miles from the airport. What is the distance between the
two planes? What is the bearing from the Delta plane to the SouthWest
plane? What is the bearing to the Delta plane from the SouthWest
plane?
Delta
y
SW
Angles
ThreeFourthsMe MATH
2
Find the derivative of the function.
m(t) = -4t (6t7 - 1)6
Find the derivative of the function.
y= (8x²-6x²+3)4
Chapter 2 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
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