Question 1171353: A stage theater sold tickets for $ 300. Senior citizens received a discount of 30%, and paid only $ 210. On the initial showing, the theater sold 250 tickets and registered a total of $ 66,000. How many of each type tickets were sold?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! let s = no. Senior tickets
let r = no. of regular tickets
:
A stage theater sold tickets for $ 300.
Senior citizens received a discount of 30%, and paid only $ 210.
On the initial showing, the theater sold 250 tickets and registered a total of $ 66,000.
From the information given we can write two equations
s + r = 250
and
210s + 300r = 66000
simplify, divide by 100
2.1s + 3r = 660
:
multiply the 1st equation by 3, subtract the 2nd
3s + 3r = 750
2.1s+3r = 660
-----------------subtraction eliminates r, find s
.9s = 90
s = 90/.9
s = 100 seniors
then
100 + r = 250
r = 150 regular tickets
:
:
Check in the $ equation
100(210) + 150(300) = 66000
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