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 tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?

The answer is $4,000

This is confusing lol but Ima go with the answer 4,000 idk why ill come back to say if its correct.

To solve this problem, we'll need to set up a system of equations based on the given information. Let's assume the number of student tickets sold is "x", the number of adult tickets sold is "y", and the number of senior citizen tickets sold is "z".

We know that the theater has 400 seats, so the sum of all three types of tickets must equal 400: x + y + z = 400. (Equation 1)

We also know that the total revenue from ticket sales was $3,535. To calculate this, we need to multiply the number of tickets sold in each category by their respective ticket prices and add them together: 8x + 10y + 7z = 3,535. (Equation 2)

Lastly, we're given that the number of adult tickets sold was 10 less than the sum of student and senior tickets: y = x + z - 10. (Equation 3)

Now, let's solve this system of equations to find the values of x, y, and z.

First, let's solve Equation 3 for z: z = y - x + 10. (Equation 4)

Substituting Equation 4 into Equation 1: x + y + (y - x + 10) = 400. Simplifying this equation gives us: 2y + 10 = 400 - z. (Equation 5)

Now, let's substitute Equation 4 and Equation 5 into Equation 2: 8x + 10y + 7(y - x + 10) = 3,535.

Simplifying this equation gives us: 8x + 10y + 7y - 7x + 70 = 3,535.

Combining like terms gives us: x + 17y = 3,535 - 70.

Finally, we can substitute the values we have into this equation to solve for y.

At this point, we're unable to determine the exact values of x, y, and z without more information or by using numerical methods such as trial and error. However, using the equations we derived, we can determine the relationship between the number of senior tickets sold and the other ticket categories.

Reese read twice as many pages Saturday night than she read Sunday night. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday night?

36

If there are s students, a adults, and g geezers, then

s+a+g = 400
8s+10a+7g = 3535
a = s+g-10

Now just solve for the numbers

57