How many senior tickets where sold?

Option 1 correct(55 tickets)

Step-by-step explanation:

Given that movie theater has 400 seats and ticket at theater cost $8 for students, $10 for adults and $7 for senior citizen. The number of adult ticket sold was 10 less than number of students and senior citizen tickets.

Ticket sales is $3535. we have to find no. of senior tickets sold.

Let x be number of tickets sold for students, y be the number of tickets sold for adults and for senior citizens no. of tickets z.

since movie theater has 400 seats ⇒ x+y+z=400  → (1)

Also, ticket at theater cost $8 for students, $10 for adults and $7 for senior citizen and total sales is $3535 ∴ equation becomes

8x+10y+7z=$3535 → (2)

The number of adult ticket sold was 10 less than number of students and senior citizen tickets which implies y=x+z-10   →  (3)

Solving (1), (2), and (3) we get

Substitute value of y in (1) and (2) from eq (3), we get

x+z=205 → (a)

18x+17z=3636

Solve above two equations, we get

Multiply eq (a) by 18 then subtracting in order to eliminate x

18x+18z-18z-17z=3690-3635

⇒ z=55

The number of tickets sold for the senior citizen was 55 tickets.

b. astronomers

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d