Question 140215

Using 2 unknowns:
Let x=number of student tickets sold

And let y=number of general admission tickets sold

Now we are told the following:

x+y=450----------------------------------eq1
and($ understood)
4x+6y=2340----------------------------eq2

multiply eq1 by 4:
4x+4y=1800------------------------------------eq1a
subtract eq1a from eq2 and we get:

2y=540  divide boh sides by 2

y=270--------------------------number of general admission tickets sold
Substitute y=270 into eq 1:
x+270=450  subtract 260 from each side
x+270-270=450-270  collect like terms
x=180------------------------------------number of student tickets sold

CK
180+270=450
450=450
and
4*180+6*270=2340
720+1620=2340
2340=2340

Using 1 unknown
Let x=number of student tickets sold
Then 450-x=number of general admission tickets sold

Now we are told that:
($ understood)
4x+6(450-x)=2340  get rid of parens (distributive law)
4x+2700-6x=2340  subtract 2700 from each side
4x+2700-2700-6x=2340-2700  collect like terms

-2x=-360  divide both sides by -2
x=180-----------------------number of student tickets sold
450-x=450-180=270------------------number of general admission tickest sold


Hope this helps---ptaylor