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.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.