It always helps to draw a picture. Given the information, Segment OF is the center line that is bisecting this angle.
Since it's bisecting (cutting in half)... we can simply set the two angles equal to each other.
y+30=3y-50
-2y+30=-50
-2y=-80
y = 40
C)40.
X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
480 bottles because 300 divided by 5 is 60 so then you multiply 60 by 8 and you get 480!
2.5 grams of salt and 1000mg of sodium is equal to shalf a teaspoon of salt
:)
