# math

A movie theatre sells two types of tickets: adult and child. On Tuesday, the theatre sold 100 adult tickets and 70 child tickets and made a total of \$1,100. On Wednesday, the theatre sold 50 adult tickets and 50 child tickets and made a total of \$625. How much is an adult movie theatre ticket?

1. 👍
2. 👎
3. 👁
1. 100A + 70C = 1100

50A + 50C = 625

Divide first equation by 2.

50A + 35C = 550

Subtract that from the second equation.

15C = 75

Solve for C, then insert into any of above equations to find A.

1. 👍
2. 👎

## Similar Questions

1. ### Math

At a movie theater, child admission is \$5.80 and adult admission is \$\$9.70. On Monday, three times as many adult tickets as child tickets were sold, for a total sale of \$732.90. How many child tickets were sold that day?

2. ### Algebra

a theater wants to take in at least \$2000 for a certain matinee. children's tickets cost \$5 each and adult tickets cost \$10 each. the theatre can seat up to 350 people. find five combinations of children and adult tickets that

3. ### Math

For the first tour on Monday, a museum sells 4 child tickets and 8 adult tickets for \$128. For the second tour the museum sells 6 adult tickets for \$72. Find the price of one child ticket and the price of one adult ticket

4. ### math

At the movie theatre, child admission is \$5.30 and adult admission is \$8.70 . On Friday, 155 tickets were sold for a total sales of \$1137.70 . How many child tickets were sold that day?

1. ### pre algebra

a total of 400 tickets were sold for the school play, they were either adult tickets or student tickets. there were 50 fewer student tickets sold than adult tickets. how many adult tickets were sold

2. ### Math

A total of 688 tickets were sold for the school play. They were either adult tickets or student tickets. There were 62 fewer student tickets sold than adult tickets. How many adult tickets were sold?

3. ### 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

4. ### Algebra/Math

A total of 504 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold . How many adult tickets were sold?

1. ### maths

theatre sold the students tickets for Rs Rs3.25 and full price ticket Rs 5. on saturday 16 more fullprice ticket sold than student ticket .the total sales on that day was Rs 740. How many tickets sold ineach.

2. ### math

A total of 600 tickets were sold for the school play. They were either adult tickets or student tickets. There were 50 fewer student tickets sold than adult tickets. How many adult tickets were sold?

3. ### Math

At the movie theatre, child admission is \$5.50 and adult admission is \$9.50. On Saturday, 148 tickets were sold for a total sales of \$1170.00. How many adult tickets were sold that day?

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