8.1 8 Please solve this. Thanks!

Algebra
Tutor: None Selected Time limit: 1 Day

May 3rd, 2015

r - orchestra seats

m = main seats

b = balcony seats

1. r+m+b=500

2. 40r+30m + 20b=14400

3. 40r/2+30m + 20b=12400

subtract the 3rd from the 2nd:

40r/2=2000 => 20r=2000 => r =100

Now, from the 1st: m+b = 400 => b=400-m

substitute this and the value of r in the 2nd:

40*100+30m+20(400-m)=14400

or: 4000 + 30m+8000-20m=14400

10m=2400 =>m=240

b=400-m=160


May 3rd, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
May 3rd, 2015
...
May 3rd, 2015
Dec 7th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer