Question

[6.05]A concert hall earned $40,000 in sold−out comedy ticket sales. Front section tickets cost $150 per seat and back section tickets cost $50 per seat. The number of front section seats is three times the number of back section seats. How many seats are in the front section?

Answer 1

Let the front seats be x and the back seats be y:
150x+50y=40000
3y = x

Can you solve it from here?

Answer 2

no i need a little more help

Answer 3

Sorry...phone. Give me a few

Answer 4

ok thanks lol

Answer 5

my laptops about to die lol...hurry!!!!

Answer 6

lol

Answer 7

Ok. We'll use the substitution method since that's the easiest in this case. Since x=3y plug 3y back into the first equation and solve for y. Once you know what y is, you can easily figure out x.
\[150(3y)+50y=40000\]\[y=80\]Using the second equation and plugging in 80 you get:\[3(80)=x=240\]If you plug all that back into the original question you'll see that it works out :)

Answer 8

so x equals 240?

Answer 9

Yes...there are 240 front seats and 80 back seats

Answer 10

thanks bro

Answer 11

np