# Math

A theater has a seating capacity of 900 and charges 4\$ for children, 6\$ for students, and 8\$ for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled 5600\$. How many people from each group attended the show ?

1. 👍
2. 👎
3. 👁
1. so, what do you know?
c+s+a = 900
a = (c+s)/2
4c+6s+8a = 5600

3 equations in 3 unknowns. Just solve them for c,s,a

1. 👍
2. 👎

## Similar Questions

1. ### Social Studies

Which of the following is evidence that ancient Greek literature in theater is still important today? Select all that apply A.playwrights and filmmakers draw inspiration from them B. Children are still read Aesop’s fables to

2. ### Math (arithmetic)

The total seating capacity of an auditorium is 1,065. The first row has 21 seats arithmetic series and each row has one seat more than the row in front of it. How many rows of seats are there in the auditorium?

3. ### Science

Two point charges are 10.0 cm apart and have charges of 2.0 μC and –2.0 μC, respectively. What is the magnitude of the electric field at the midpoint between the two charges? 8.99*10^9(2*10^-6/.025)=719200 Two equal charges

4. ### math help!

a hockey arena has a total seating capacity of 15690.the first row of seats around the rink has 262 seats. the number of seats in each subsequent row increases by 18. how many rows of seats are in the arena?

1. ### algebra

A movie theater charges \$6 for an adult and \$3 for a child. if the total amount was 1428 and there were 56 more children than adults - then how many children attended?

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. ### 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

4. ### Math

A small aeroplane has 14 seats for passengers. The seats are arranged in 4 rows of 3 seats and a back row of 2 seats . 12 passengers board the aeroplane. (i) How many possible seating arrangements are there for the 12 passengers?

1. ### Math

The ratio of the number of men to the number of women to the number of children in a theater is 3:5:2 there are 69 men in theater A.how many more are there in the theater B.how many children are there in theater

2. ### chemistry

A quantity of 85.0 mL of 0.900 M HCl is mixed with 85.0 mL of 0.900 M KOH in a constant-pressure calorimeter that has a heat capacity of 325 J/C. If the initial temperatures of both solutions are the same at 18.24C, what is

3. ### Math

The ratio of the number of boys to the number of girls in a theater is 7:9. There are 12 More girls than boys in the theater. How many children are in the theater?

4. ### Finite math

A theater has a seating capacity of 900 and charges \$5 for children, \$7 for students, and \$9 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts