6. A theater has 490 seats. Seats sell for $25 on the floor, $20 in the mezzanine, and $15 in the balcony. The number of seats on the floor equals the total number of
seats in the mezzanine and balcony. Suppose the theater takes in $10,520 from a
sold-out event. Which system of equations represents this situation?

There are 245 seats on the floor, 101 seats on the balcony and 144 seats in the mezzanine

Step-by-step explanation:

first equation: all sections added together equaling total number of seats. second equation: price of each type of seat multiplied by number of each seat, added together equals total sales. third equation: relates floor seats to addition of other two types

2

subtract f from both sides of third equation

3

first equation: add first equation from first step and equation from previous step

second equation: add second equation from first step and 25 times equation from previous step

4

subtract 40 times second equation in previous step from first.

5

plug m-value into first equation from third step

6

plug m and b values into first equation from first step

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}