College algebra system of equations

Question

The admission fee at an amusement park is $15.50 for children and $20 for adults. On a certain day, 217 people entered the park, and the admission fees collected total $3,782.

How many children and how many adults were admitted?

Write your answer as an ordered pair with the number of children listed first (C,A).

Answer 1

x = number of adults at $20 each

217 - x = number of children at $15.50 each

 

20x + 15.50(217 - x) = 3782

 

x = [3782 - 15.50(217)] / (20 - 15.50) = 93

 

93 adults

 

217 - 93 = 124

 

124 children

 

Test the answers.