SOLUTION: A movie theater sells tickets for $7.00 each. Senior citizens receive a discount of $2.00. One evening the theater sold 400 tickets and took in $2600.00 in revenue. How many ticket

Algebra ->  Linear-equations -> SOLUTION: A movie theater sells tickets for $7.00 each. Senior citizens receive a discount of $2.00. One evening the theater sold 400 tickets and took in $2600.00 in revenue. How many ticket      Log On


   

Question 171390: A movie theater sells tickets for $7.00 each. Senior citizens receive a discount of $2.00. One evening the theater sold 400 tickets and took in $2600.00 in revenue. How many tickets were sold to senior citizens? How many were sold to non-senior citizens?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let the number of tickets sold to non seniors and seniors , be n and s respectively
:
n+s=400.........eq 1
7n+5s=2600......eq 2
:
lets rewrite eq 1 to s=400-n and place that value into eq 2.
:
7n%2B5%28400-n%29=2600
:
7n%2B2000-5n=2600 distribution
:
2n=600combining terms
:
highlight%28n=300%29number of non senior ticket sold