SOLUTION: I am at a loss, please help. A team has opened six lines at the box office to sell World Seriest tickets. The first line is long,but the second line has one more than the first a

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: I am at a loss, please help. A team has opened six lines at the box office to sell World Seriest tickets. The first line is long,but the second line has one more than the first a      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 172737: I am at a loss, please help. A team has opened six lines at the box office to sell World Seriest tickets. The first line is long,but the second line has one more than the first and the third line has one more than the second. Each line has one more person than the line before it. Altogether there are 327 people in all six lines. How many people are in each line?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A team has opened six lines at the box office to sell World Series tickets.
-----
The first line is long,but the second line has one more than the first and the third line has one more than the second. Each line has one more person than the line before it. Altogether there are 327 people in all six lines. How many people are in each line?
-------
Equations:
Let number in 1st line be "x".
Then # in 2nd line = "x+1"
3rd line = "x+2"
....
6th line = "x+5"
-----------------------
EQUATIONS:
x + x+1 + x+2 + x+3 + x+4 + x+5 = 327
6x + 15 = 327
6x = 312
x = 51 (# in 1st line)
x+1 = 52 (# in 2nd line)
etc.
===========
Cheers,
Stan H.