SOLUTION: The admission fee at an amusement park is $3.50 for children and $5.80 for adults. On a certain day, 310 people entered the park, and the admission fees collected totaled $1476. Ho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The admission fee at an amusement park is $3.50 for children and $5.80 for adults. On a certain day, 310 people entered the park, and the admission fees collected totaled $1476. Ho      Log On


   

Question 1175895: The admission fee at an amusement park is $3.50 for children and $5.80 for adults. On a certain day, 310 people entered the park, and the admission fees collected totaled $1476. How many children and how many adults were admitted?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
c = # of children tickets, a = # of adult tickets

a + c = 310 (eqn 1)
5.8a + 3.5c = 1476 (eqn 2)

Multiply equation 1 by 3.5:

3.5a + 3.5c = 1085
5.8a + 3.5c = 1476

Subtract to get -2.3a = -391, or a = 170.

170 adults were admitted and 140 children were admitted.