Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
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.
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.
Answer:
Number of premium tickets sold = 638
Number of regular tickets sold = 552
Step-by-step explanation:
Let number of premium tickets sold be p and number of regular tickets be r.
Total number of seats = 1200
Ticket sales with 10 seats left on, that is
p + r = 1190 ----------------eqn 1
Cost of premium ticket = 30 $
Cost of regular ticket = 20 $
Money collected = 30180 $
Total money collected = 30 p + 20 r = 30180
3p + 2 r = 3018 ----------------eqn 2
eqn 1 x 2
2p + 2r = 2380 --------------------eqn 3
eqn 2 - eqn 3
p = 3018 - 2380 = 638
Substituting in eqn 1
638 + r = 1190
r = 552
Number of premium tickets sold = 638
Number of regular tickets sold = 552
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
