Atheater charges $24 for adults and $12 for senior citizens. on a recent weekends when 541 people attended the theater the total receipts was $8676. how many people that paid were senior citizens

359 seniors citizens.

Step-by-step explanation:

Given,

Ticket price for adults = $24

Ticket price for senior citizens = $12

Let,

The number of senior citizens = x

The number of adult people = (541 - x)

According to the question,

24*(541 - x) + 12x = 8,676

or, (24*541) - (24*x) + 12x = 8,676

or, 12,984 - 24x + 12x = 8676;

or, - 12x = 8676 - 12,984

or, - 12x = -4,308

or, x = (-4,308)/(-12)

or, x = 359

Hence, senior citizens, x = 359 persons.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x