# substitution

Tickets to a movie cost \$7.25 for adults and \$5.50 for students. A group of friends purchased 8 tickets for \$52.75.
Write a system of equations to represent the situation.
How many adult tickets and student tickets were purchased?

1. 👍
2. 👎
3. 👁
1. A + C = 8
7.25 A + 5.5 C = 52.75

Solve for A (# of adult tickets) and C (# of children's tickets)

1. 👍
2. 👎
2. let the number of adult tickets be x
then the number of student tickets will be 8-x

7.25x + 5.5(8-x) = 52.75

etc

1. 👍
2. 👎
3. Thank you. I'm really having problems with math.

1. 👍
2. 👎
4. i need help with substitution

1. 👍
2. 👎

## Similar Questions

1. ### math

The table shows ticket prices at the movie 16 theater.Let a represent the number of adult tickets, c the number of childrens tickets and s the number of senior citizen tickets. adults cost:\$8.75 childrens cost:\$6.50 senior citizen

2. ### Algebra

Tickets to a movie cost 7.25 for adults and 5.50 for students. A group of friends purchased 8 tickets for \$52.75 Write a system of equations to represent the situation

3. ### math

tickets for a football match are sold at \$30 for adults and \$15 for children a company bought 28 tickets if x of these tickets were for adults, write in terms of x a. the number of tickets for children b. the amount spent on

4. ### algebra

A movie theater has 400 seats. Tickets at the theater cost \$8 for students, \$10 for adults, and \$7 for senior citizens. On a night when all the seats were sold, the theater made \$3,535 from ticket sales. If the number of adult

1. ### Math

A class went on a field trip to see a play. Adult tickets cost \$18 each and student tickets cost \$12 each. There were 10 more students than adults that went to the play. If the trip cost \$240 in all, how many adults and students

2. ### Algebra 1

Tickets to a local movie were sold at \$4.00 for adults and \$2.50 for students. If 287 tickets were sold for a total of \$1107.50, how many adult tickets were sold?

3. ### Math

Karen sells tickets a movie theater. Last night she sold 128 tickets for a total of \$1108. Adult's tickets cost \$10 and children's tickets cost \$6 how many of eac h kind of ticket did karen sell?

4. ### Mathematics

At the movie theatre 65 students tickets were sold for one performance . A)the ratio of adults tickets sold to students tickets sold was 3:5 how many adult tickets were sold

1. ### Math

Linda was selling tickets for the school play. She sold 10 more adult tickets than children tickets and she sold twice as many senior tickets as children tickets. Adult tickets cost \$5, senior tickets cost \$3 and children tickets

2. ### math

james sold 450 tickets for the community play. Tickets for children cost \$2, and tickets for adults cost \$5. James sold \$1,800 worth of tickets. How many tickets for adults did James sell?

3. ### Math

Tickets to science exposition cost \$5.75 each for students and \$7.00 for adults. How many students and adults went if the ticket charge was \$42.75?

4. ### maths

tickets for a school play cost \$4 for adults and \$2 for students at the end of the play the school sold a total of 105 tickets and collected \$360 how much of each type of tickets did they sell .