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

Let c = number of children

a = number of adults

$15.50c + $20a = $3,782

c + a = 217

$15.50c + $20(217 - c) = $3,782

$15.50c + $4,340 - $20c = $3,782

$4,340 - $4.50c = $3,782

$4.50c = $558

c = 124, a = 93

{(c, a)} = {(124, 93)}