Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed. Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold. a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play. b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold. C. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?

Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed. Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold. a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play. b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold. C. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Willam Thatcher owns a water park, He charges $3.50 for a child to enter, enter. Yestenday, 300…

A: Given: Charges for a child = $3.50 Charges for an…

Q: Find the solution to this system of equations. Ity = 1 2x-y+z = 1 %3D エ+2y+z 8 3

Q: a group of students go to lunch if two have burritos and five have tacos, the bill will be $19.50.if…

Q: The bookstore at suntan u had a sale on school tshirts. Thursday they sold 45 of the marked down…

Q: A cash drawer contains 160 bills, all 10s and 50s. If the total value of the 10s and 50s is $1,880.…

Q: solve each problem by setting up and solving an appropriate system of equations. Sue bought 3…

A: Consider the price of a package of cookies is x and the price of a sack of chips is y. The sum of 3…

Q: Jady has 24 coins, some nickels, some dimes, and some quarters. He has 4 more nickels than dimes,…

Q: The graph shows the solution to which system of inequalities? A 4x B 1x C y<-2x + 4 and y< 2x+4…

A: We can solve this as follows:

Q: How many solutions are there to the system shown in the graph below? 5

A: How many solutions are there to the system shown in the graph?

Q: A charity sells candy bars and bags of snack mix for a fundraiser. Each candy bar costs $2.50 and…

Q: 2. Rob and Adam went to Taco Express. Rob bought seven tacos and two fajitas and paid $12.65. Adam…

A: Given query is to find the the solution of the system.

Q: Write a system of equations to represent the situation and solve using Substitution Method. The…

Q: ou plan to work 200 hours this summer mowing lawns and babysitting. You need to make a total of…

A: Let mowing lawns=x hour baby sitting=y hour work=200 hoursmowing lawns=$8 per hourbaby sitting=$6…

Q: Formulate a system of equations for the situation below and solve. A theater has a seating capacity…

Q: which option you use for each machine. The system runs 1 time. The team that gets the lowest system…

Q: O D 9) Use the scenario to answer the question. Round all calculations to the nearest hundredth.…

Q: Charlie goes to his piggy bank and finds 35 coins, all nickels and quarters, worth $5.15. Which…

A: Let N be the number of nickels and Q be the number of quarters. In total Charlie found 35 coins. So,…

Q: Use another Piece of paper to show your work. A concert manager counted 350 ticket receipts the day…

Q: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8…

Question

Students and adults purchased tickets for a recent school play. All tickets were sold at the
ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected.
200 tickets were sold.
a.
Write a system of equations that can model the number of student and adult tickets sold
at the ticket booth for the play.
b.
Solve the system you create to find the exact number of student tickets sold and adult
tickets sold.
Assuming that the number of students and adults attending would not change, how
much more money could have been collected at the play if the student price was kept at $8
C.
per ticket and adults were charged $15 per ticket instead of $10?

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Define your variables. Write your system of equations. Solve your system using substitution or elimination/combination. Give answers with the proper labeling. SHOW YOUR WORK! 10. Pilot Joe flew a jet for 4 hours with a tailwind for 2400 miles. The return trip took 5 hours. Find the jet's airspeed and the wind speed.
A group of people buys tickets to Trampoline Zone - the number one trampoline theme park in the metropolitan area. Children tickets cost $3 and adult tickets cost $5. There are 6 people in the group and they spend $22 total. Write and solve a system of equations to determine how many children and how many adults were in the group.
Write a system of two equations in two variables to solve the problem.A Mississippi riverboat travels 15 miles downstream in three hours and then makes the return trip upstream in five hours. Find the speed of the riverboat in still water and the speed of the current. riverboat in still water ? mph current ? mph
Write a system of equations to represent the situation below. Then solve the system and answer the question. A total of 243 adults and children are at a movie theater. There are 109 more adults than children in the theater. How many children’s tickets were sold?
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Mrs. Massey is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Newport Florist charges $9 for each smaller arrangement, plus $51 for the large centerpiece. Layla's Flowers, in contrast, charges $27 for the large centerpiece and $10 per arrangement for the rest. If Mrs. Massey orders a certain number of small arrangements, the cost will be the same at either flower shop. What would the total cost be? How many small arrangements would that be?