Each person attending a fund-raising party for a certain club was charged the same admission fee. How many people attended the party?(1) If the admission fee had been $0.75 less and 100 more people had attended, the club would have received the same amount in admission fees.(2) If the admission fee had been $1.50 more and 100 fewer people had attended, the club would have received the same amount in admission fees.

(1) 400

(2) 200

Step-by-step explanation:

Revenue (R) = ticket cost (C) * Number of sold (x)

   R= Cx (1)

   R = (C-0.75) * (x+100)

   Cx =  Cx +100C-0.75x -75

   0.75x-100C = -75(2)

   R = (C+1.50)* (x-100)

   Cx  = Cx -100C+1.5x-150

   -1.5x+100C= -150(3)

Solving equations (2)and (3) simultaneously:

0.75x-100C = -75

-1.5x+100C= -150

-0.75x  =  -225

       x= 300

(1) x+100

   = 300 +100

   = 400 people

(2) x-100

= 300-100

=200

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.