SOLUTION: The ticket price of the swimming pool is to be priced so that the average price is 4.4 €. Students, unemployed, pensioners and children will receive a discount of 30%. How much

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The ticket price of the swimming pool is to be priced so that the average price is 4.4 €. Students, unemployed, pensioners and children will receive a discount of 30%. How much       Log On


   

Question 397941: The ticket price of the swimming pool is to be priced so that the average price is 4.4 €.
Students, unemployed, pensioners and children will receive a discount of 30%.
How much the ticket price should be set.. if 40% of visitors are entitled to a discount??
i tried and i found 10€...am i right ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the regular price = p
Let v = number of visitors
Then the discounted price would be p+-+.3p+=+.7p
given:
%28.6v%2Ap+%2B+.4v%2A.7%2Ap%29%2Fv+=+4.4
%28v%2Fv%29%2A%28.6p+%2B+.28p%29+=+4.4
p%2A%28.6+%2B+.28%29+=+4.4
p+=+4.4%2F.88
p+=+440%2F88
p+=+5
I get 5.