![deadea46](/avatars/20958.jpg)
deadea46
16.09.2019 •
Mathematics
Abroadway theatre has 500 seats, divided into orchestra, main, and balcony seating. orchestra seats sell for $40, main seats for $25, and balcony seats for $20. if all the seats are sold, the gross revenue to the theatre is $13,150. if all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $11,150. how many are there of each kind of seat?
Solved
Show answers
More tips
- C Computers and Internet How to Set Up Internet on iPhone? Detailed Guide with Step-by-Step Instructions...
- F Family and Home How to Teach Your Child to Speak: Tips and Recommendations...
- P Philosophy Agnosticism: Opinion or Belief?...
- S Style and Beauty How to choose the best mascara for your eyelashes...
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- S Science and Technology Why is there no gravity on other planets?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
Answers on questions: Mathematics
- M Mathematics Please help 10 points...
- M Mathematics Please help me I will give brainliest to the right person...
- M Mathematics 6m^4n^2-12m^2n^2+24m^2n^3factorice con factor común ayuda...
- M Mathematics What is the inverse of the function f(x) = 2x + 1? 1 1 h(x) = 들사 2 2 h(x) = X+ 1 2 2 1 h(x) = 글 - 2 - S +2 1 h(x) = X +2...
- H History Why was the queen of Hawaii overthrown in 1893?*...
- M Mathematics What are the domain and range of the relation that models this situation!! Plz help and explain it so Ican understand thank you!...
- M Mathematics If zero has the multiplicity of 4 what does that mean...
- M Mathematics The binomial expansion of (x - 2y)3 is O A. x3 - 3x2y + 3 xy2 - 3 OB. X3 - 6x2y + 12xy2 - 8y O c. x3 + 3x2 y + 3 xy2 + y3 O D. 2(x -3x+y + 3xy2 – ?)...
- B Business Which of the following factors will influence the position of the long-run aggregate supply curve? check all that apply. a. the size of the labor force b. the amount of available...
Ответ:
How many are there of each kind of seat?
orchestra 100, main 230, and balcony 170
Step-by-step explanation:
x = Orchestra seats
y = Main seats
z = Balcony seats
x + y + z = 500
:
If all the seats are sold, the gross revenue to the theatre is $13,150."
40x + 25y + 20z = 13150
:
"but if only half the orchestra seats are sold, the gross revenue is $11,150."
(40÷2)x) + 25y + 20z = 11150
20x + 25y + 20z = 11150
use elimination on these two equations
40x + 25y + 20z = 13150
20x + 25y + 20z = 11150
20x = 2000
x = 2000÷20
x = 100 orchestra seats
100 + y + z = 500
y + z = 500 - 100
y + z = 400
25y + 20z = 9150
20y + 20z = 8000
5y = 1150
y = 1150÷5
y = 230 Main seats
100 + 230 + z = 500
z = 500 - 330
z = 170 Balcony seats
Ответ:
There are 100 orchestra seats, 230 main seats, and 170 balcony seats
Ответ:
C
Step-by-step explanation:
No, because for two triangles to be similar, the angles must be the exact same.