Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A stadium has 80,000 seats. Seats sell for $40 in Section A, $20 in Section B, and $10 in Section C. The number of
seats in section Cequals the total number of seats in sections A and B. Suppose the stadium takes $1,500,000 from each
sold-out event. How many seats does each section hold?

Sagot :

hellow4327

Answer:

There are 26,000 seats in Section A, 14,100 in section B & 11,900 in section C

Step-by-step explanation:

Section B = x

Section C = y

Section A = x + y

Step 1-

Total number of seats = 52000

x + y + (x + y) = 52000

x + y + x + y = 52000

2x + 2y = 52000

x + y = 26000

x = 26000 - y

Step 2-

Total amount collected = $1,370,500

20x + 15y + 35(x + y) = 1,370,500

20x + 15y + 35x + 35y = 1,370,500

55x + 50y = 1,370,500

11x + 10y = 274,100

Step 3-

x = 26000 - y  

11x + 10y = 274,100

Finding y

11 (26000 - y) + 10y = 274,100

286000 - 11y + 10y = 274,100

y = 11,900    

Finding x

x = 26000 - y

x = 26000 - 11900

x = 14,100

Section B = 14,100

Section C = 11,900

Section  A = 14,100 + 11,900 = 26,000

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.