A theater charges $50 per ticket for seats in section A, $30 per ticket in section B, and $20 per ticket in section C. For a certain performance, 4000 tickets were sold for a total of $120,000 in revenue. If 1000 more tickets were sold in section B than in section A, how many tickets were sold in each section?

A theater charges $50 per ticket for seats in section A, $30 per ticket in section B, and $20 per ticket in section C. For a certain performance, 4000 tickets were sold for a total of $120,000 in revenue. If 1000 more tickets were sold in section B than in section A, how many tickets were sold in each section?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.3: Solve Mixture Applications With Systems Of Equations

Problem 4.53TI: Translate to a system of equations and solve: LeBron needs 150 milliliters of a 30% solution of...

See similar textbooks

Similar questions

In your own words explain the steps to solve a system of linear equations with three variables by elimination.
Translate to a system of equations and solve: LeBron needs 150 milliliters of a 30% solution of sulfuric acid for a lab experiment but only has access to a 25% and a 50% solution. How much of the 25% and how much of the 50% solution should he mix to make the 30% solution?
What is a system of linear equations in the variables x, y, and z?
For a system of two linear equations in two variables, aHow many solutions are possible? bWhat is meant by an inconsistent system? cWhat is meant by a dependent system?
Translate to a system of equations and solve: Anatole needs to make 250 milliliters of a 25% solution of hydrochloric acid for a lab experiment. The lab only has a 10% solution and a 40% solution in the storeroom. How much of the 10% and how much of the 40% solutions should he mix to make the 25% solution?
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?
Translate to a system of equations and then solve: Mitchell left Detroit on the interstate driving south towards Orlando at a speed of 60 miles per hour. Clark left Detroit 1 hour later traveling at a speed of 75 miles per hour, following the same route as Mitchell. How long will it take Clark to catch Mitchell?
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.
How can you tell when a system of three linear equations with three variables has no solution? Infinitely many solutions?