SOLUTION: The members of the Historical Society sold a number of tickets to the Easton town picnic and raised $240 from the sale. If the Society has lowered its price by $2 a ticket, the mem

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The members of the Historical Society sold a number of tickets to the Easton town picnic and raised $240 from the sale. If the Society has lowered its price by $2 a ticket, the mem      Log On


   

Question 1027506: The members of the Historical Society sold a number of tickets to the Easton town picnic and raised $240 from the sale. If the Society has lowered its price by $2 a ticket, the members would have needed to sell 20 more tickets to earn the $240. How many tickets did the Society members actually sell?

Answer by josgarithmetic(39617) About Me  (Show Source):
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The members of the Historical Society sold a number of tickets to the Easton town picnic and raised $240 from the sale.

What ticket price?


If the Society has lowered its price by $2 a ticket, the members would have needed to sell 20 more tickets to earn the $240.

How many tickets sold is variable, different values, in both situations.


The main question is, how many tickets actually were sold. Give this a variable, maybe n. Cost or actually REVENUE is the same for the actual and for the conditional parts.

TICKET PRICE DONE:
%28240%2Fn%29%28dollars%2Fticket%29

CONDITIONAL LOWER PRICE:
240%2Fn-2 dollars per ticket

CONDITIONAL HOW MANY TICKETS SOLD:
Twenty more of them.
n%2B20

THE CONDITIONAL REVENUE FOR SALES:
%28n%2B20%29%28240%2Fn-2%29

Reminder: The actual revenue is the same as the hypothetical revenue, according to the problem description. Both are for $240.
highlight%28%28n%2B20%29%28240%2Fn-2%29=240%29