35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $150, main seats for $135, and balcony seats for $110. If all the sets are sold, the gross revenue to the theater is $64,250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $56,750. Set up but do not solve a system of equations that would tell you how many of each seat there is in the theater.

35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $150, main seats for $135, and balcony seats for $110. If all the sets are sold, the gross revenue to the theater is $64,250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $56,750. Set up but do not solve a system of equations that would tell you how many of each seat there is in the theater.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.4: Solve Applications With Systems Of Equations

Problem 5.84TI: Translate to a system of equations and then solve: Charlie left his mother’s house traveling at an...

See similar textbooks

Related questions

Q: Prove that a non-empty subset U of R" is a subspace of R" if and only if U = Span(S) for some…

A: Question: Prove that a non-empty subset U of ℝn is a subspace of ℝn if and only if U=SpanS for some…

Q: 5.2. Give the estimated logistic regression decided upon and give the odds ratios for regression…

A: Given is the summary of logistic regression to predict the effectiveness of treatment (Y) based on…

Q: 70 60 50 40 30 20 10 -10. 30 10 20 30 40 Carmen is a lifeguard and spots a drowning child 40 meters…

Q: Calculate t. [35 t+ 6 C 10 12 B O 25 O 26 O 30 O 28 O 27 O 29

Q: If f(x) = sin(x³), find f'(x) Find f'(1)

A: See this solution in below.

Q: We would like to assess if the population mean annual gross salary (in $1000s) for adults with a…

A: Here we've to test for averages. The population mean annual gross salary for adults with a…

Q: Question 5 5.1. A study was conducted to ascertain the effectiveness of a treatment of diseased…

A: Note: As per the requirement solving first question. From the given information, the effects of the…

Q: 49-52 What is wrong with the equation? 3 8 49. f₁²₂x²² dx = X-4 X -3 2 3 50. 0.0 £²₁ / / dx = -²/31…

A: We have to find the mistakes in the given equation.To check this we will evaluate the integral.

Q: x² + 1

A: given an algebraic expression as followsx2+1, we need to factorise it

Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing…

A: Use pythogorous theorem

Q: 5. Betweenness in taxicab geometry. Let A = (0,0), B = (1,0) and C = (1, 1) and let p denote the…

Q: 1 + sin?x dx 50. 排

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Integrate the function. dx Jzx (1+x) A sin-1 +C tan-1 C In |x|•C D tan-1 .C

Q: The Intermediate Value Theorem can be used to approximate a root. The following is an example of…

Q: Show that any integer of the form 6k + 5 is also of the form 3j + 2, but not conversely.

A: 2. We can write 6k+5 = 6k+3+2=3(2k+1)+2 lets write 2k+1=j hence 6k+5=3j+2

Q: 49 and 55

Q: Question. 5

Question

35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating.
Orchestra seats sell for $150, main seats for $135, and balcony seats for $110.
If all the sets are sold, the gross revenue to the theater is $64,250.
If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross
revenue is $56,750.
Set up but do not solve a system of equations that would tell you how many of each seat
there is in the theater.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Translate to a system of equations and then solve: A small jet can fly 1,325 miles in 5 hours with a tailwind but only 1,035 miles in 5 hours into a headwind. Find the speed of the jet in still air and the speed of the wind.
Translate to a system of equations and then solve: A commercial jet can fly 1,728 miles in 4 hours with a tailwind but only 1,536 miles in 4 hours into a headwind. Find the speed of the jet in still air and the speed of the wind.
Translate to a system of equations and then solve: Mark went to the gym and did 40 minutes of Bikram hot yoga and 10 minutes of jumping jacks. He burned 510 calories. The next time he went to the gym, he did 30 minutes of Bikram hot yoga and 20 minutes of jumping jacks burning 470 calories. How many calories were burned for each minute of yoga? How many calories were burned for each minute of jumping jacks?
Translate to a system of equations and then solve: Erin spent 30 minutes on the rowing machine and 20 minutes lifting weights at the gym and burned 430 calories. During her next visit to the gym she spent 50 minutes on the rowing machine and 10 minutes lifting weights and burned 600 calories. How many calories did she burn for each minutes on the rowing machine? How many calories did she burn for each minute of weight lifting?
Explain in your own words how to solve a system of equations using substitution.
Use the system of three equations in three variables to solve each problem. Work schedules A college student earns 198.50 per week working three part-time jobs. Half of his 30-hour work week is spent cooking hamburgers at a fast-food chain, earning 5.70 per hour. In addition, the student earns 6.30 per hour doing janitorial work. How many hours per week does the student work at each job
Translate to a system of equations and solve: Leon had $50,000 to invest and hopes to earn 6.2% interest per year. He will put some of the money into a stock fund that earns 7% per year and the rest in to a savings account that earns 2% per year. How much money should he put into each fund?
Translate to a system of equations and then solve: Alexis wants to build a rectangular dog run in her yard adjacent to her neighbor’s fence. She will use 136 feet of fencing to completely enclose the rectangular dog run. The length of the dog run along the neighbor’s fence will be 16 feet less than twice the width. Find the length and width of the dog run.
Translate to a system of equations and solve: Jill’s Sandwich Shoppe owes $65,200 on two business loans, one at 4.5% interest and the other at 7.2% interest. The total amount of interest owed last year was $3,582. What was the principal for each loan?
Write a system of three equations in three variables with an infinite number of solutions.
Explain in your own words how to solve a system of equations using elimination.
Translate to a system of equations and solve: Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. Peanuts are $4 per pound and cashews are $9 per pound. How many pounds of peanuts and how many pounds of cashews should she use?