The Forrest Theater can seat a total of 360 people. They take in $15,150 when every
seat is sold. If orchestra section tickets cost $45 and balcony tickets cost $35, write
a system of linear equations to best represent c, the number of orchestra section
tickets and b, the number of balcony tickets sold when there is a sellout.

105 balcony tickets

Step-by-step explanation:

c = orchestra seats, b = balcony seats

c + b = 360

45c + 35b = 15150

You can solve by substitution or elimination.

c = 255

b = 105

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus